Pith Number

pith:7PF265RP

pith:2012:7PF265RPGIZOFZTGHJ5MMHM34Z

not attested not anchored not stored refs pending

Large even order character sums

Leo Goldmakher, Youness Lamzouri

arxiv:1205.3525 v2 · 2012-05-15 · 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{7PF265RPGIZOFZTGHJ5MMHM34Z}

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	2026-05-18T03:55:24.455275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcbaf762f3232e2e6663a7ac61d9be645dd600ef29cec334fc774774484f922

Aliases

arxiv: 1205.3525 · arxiv_version: 1205.3525v2 · doi: 10.48550/arxiv.1205.3525 · pith_short_12: 7PF265RPGIZO · pith_short_16: 7PF265RPGIZOFZTG · pith_short_8: 7PF265RP

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/7PF265RPGIZOFZTGHJ5MMHM34Z \
  | 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: fbcbaf762f3232e2e6663a7ac61d9be645dd600ef29cec334fc774774484f922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76e05ccb681b84fe13f171dccb6e3c71bad74e58234470e7b5c96cd1a388357",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-15T23:10:21Z",
    "title_canon_sha256": "a0660505b83564db13def299e182a20a33aa423768b6de8d5f9331202d689440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3525",
    "kind": "arxiv",
    "version": 2
  }
}