Pith Number

pith:5RNFNNSY

pith:2012:5RNFNNSYLICYMUNH3LO4PFGGCQ

not attested not anchored not stored refs pending

Two truncated identities of Gauss

Jiang Zeng, Victor J. W. Guo

arxiv:1205.4340 v2 · 2012-05-19 · math.CO · 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{5RNFNNSYLICYMUNH3LO4PFGGCQ}

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	2026-05-18T03:36:36.860092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5a56b6585a058651a7daddc794c614122c5d647bc35cb3a94401ef2d7d6679

Aliases

arxiv: 1205.4340 · arxiv_version: 1205.4340v2 · doi: 10.48550/arxiv.1205.4340 · pith_short_12: 5RNFNNSYLICY · pith_short_16: 5RNFNNSYLICYMUNH · pith_short_8: 5RNFNNSY

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/5RNFNNSYLICYMUNH3LO4PFGGCQ \
  | 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: ec5a56b6585a058651a7daddc794c614122c5d647bc35cb3a94401ef2d7d6679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d426dcbd681ff36a8af35fca4168a747fee5a14314bfb1633c94eae90e7df8ab",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-19T15:59:13Z",
    "title_canon_sha256": "e9444b92e550a1ad997650723eac23a50da90af119e012c892a92f89f1515ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4340",
    "kind": "arxiv",
    "version": 2
  }
}