Pith Number

pith:GJY7PIVK

pith:2010:GJY7PIVKUILEY2DXDPO6HWYNTZ

not attested not anchored not stored refs pending

Nested-set inconsistency

Antonio Leon

arxiv:1004.4461 v2 · 2010-04-26 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJY7PIVKUILEY2DXDPO6HWYNTZ}

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	2026-05-18T04:03:56.003752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3271f7a2aaa2164c68771bdde3db0d9e7936b68d2563bf8502a44e404993a91f

Aliases

arxiv: 1004.4461 · arxiv_version: 1004.4461v2 · doi: 10.48550/arxiv.1004.4461 · pith_short_12: GJY7PIVKUILE · pith_short_16: GJY7PIVKUILEY2DX · pith_short_8: GJY7PIVK

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/GJY7PIVKUILEY2DXDPO6HWYNTZ \
  | 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: 3271f7a2aaa2164c68771bdde3db0d9e7936b68d2563bf8502a44e404993a91f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6472234551daf7779cbb089bc2034563957c94ade6cfaee26d6466ccf5f3f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-04-26T10:06:52Z",
    "title_canon_sha256": "c8f5216c3bf73856574d1ea2370b6da8d841989ba9959368b9a598a3716f8791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4461",
    "kind": "arxiv",
    "version": 2
  }
}