Pith Number

pith:XLXZ3VPB

pith:2021:XLXZ3VPB2G2XNCOUUZQ2O2Z77X

not attested not anchored not stored refs pending

A sharp estimate of the discrepancy of a certain numerical sequence

Martin Lind

arxiv:2107.13086 v1 · 2021-07-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLXZ3VPB2G2XNCOUUZQ2O2Z77X}

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	2026-07-05T03:01:26.217774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baef9dd5e1d1b57689d4a661a76b3ffdc7a410c2bf9d218871dc699f72b3328d

Aliases

arxiv: 2107.13086 · arxiv_version: 2107.13086v1 · doi: 10.48550/arxiv.2107.13086 · pith_short_12: XLXZ3VPB2G2X · pith_short_16: XLXZ3VPB2G2XNCOU · pith_short_8: XLXZ3VPB

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/XLXZ3VPB2G2XNCOUUZQ2O2Z77X \
  | 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: baef9dd5e1d1b57689d4a661a76b3ffdc7a410c2bf9d218871dc699f72b3328d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d42ee6a78bd735b724835d9e5b2f0c21795f75efa14f61279fb294021755ede",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-27T21:23:18Z",
    "title_canon_sha256": "d971560377c18aa9df7276f825dbd036f03f75ecc1d28ec19fb52ccce69bc1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13086",
    "kind": "arxiv",
    "version": 1
  }
}