Pith Number

pith:4B7VRTHC

pith:2021:4B7VRTHC6OMFJCXKL7CBCMLARP

not attested not anchored not stored refs pending

Geometry of Banach spaces: a new route towards Position Based Cryptography

Aleksander M. Kubicki, Carlos Palazuelos, David P\'erez-Garc\'ia, Marius Junge

arxiv:2103.16357 v3 · 2021-03-30 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B7VRTHC6OMFJCXKL7CBCMLARP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T04:33:18.840665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d

Aliases

arxiv: 2103.16357 · arxiv_version: 2103.16357v3 · doi: 10.48550/arxiv.2103.16357 · pith_short_12: 4B7VRTHC6OMF · pith_short_16: 4B7VRTHC6OMFJCXK · pith_short_8: 4B7VRTHC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b543da1eb9ca15191ba9c8da4bb47cbee7f722857d8f3fd1a0e94f00ac313a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-30T13:55:11Z",
    "title_canon_sha256": "c293098f958192dc30780a9aa5b34f2e05401079b1439a19499e1ce12bb9ff63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.16357",
    "kind": "arxiv",
    "version": 3
  }
}