Pith Number

pith:U5FXYLSM

pith:2009:U5FXYLSMHJHIAL45P3VU3JS7TR

not attested not anchored not stored refs pending

Matrix P-norms are NP-hard to approximate if p \neq 1,2,\infty

Alex Olshevsky, Julien M. Hendrickx

arxiv:0908.1397 v3 · 2009-08-10 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5FXYLSMHJHIAL45P3VU3JS7TR}

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	2026-07-04T17:27:07.691116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74b7c2e4c3a4e802f9d7eeb4da65f9c59298477228ba3441088b390e5f0d359

Aliases

arxiv: 0908.1397 · arxiv_version: 0908.1397v3 · doi: 10.48550/arxiv.0908.1397 · pith_short_12: U5FXYLSMHJHI · pith_short_16: U5FXYLSMHJHIAL45 · pith_short_8: U5FXYLSM

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/U5FXYLSMHJHIAL45P3VU3JS7TR \
  | 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: a74b7c2e4c3a4e802f9d7eeb4da65f9c59298477228ba3441088b390e5f0d359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d08eddef9bd61219c10e91b27c02bb5cc14f58ace5a9b64287c233232be6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-08-10T20:22:46Z",
    "title_canon_sha256": "39e43b5ffcf053d3b77a93eef3986dd95ea417862586ae63b177efb0d4b2c372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1397",
    "kind": "arxiv",
    "version": 3
  }
}