Pith Number

pith:3QPUUGAY

pith:2010:3QPUUGAYID3DN4NTZ72X4HPI4C

not attested not anchored not stored refs pending

A note on the Petri loci

Andrea Bruno, Edoardo Sernesi

arxiv:1012.0856 v3 · 2010-12-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QPUUGAYID3DN4NTZ72X4HPI4C}

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	2026-05-18T04:23:12.989570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1f4a181840f636f1b3cff57e1de8e091d1b1ec3c1d132ded448f2bf89a897d

Aliases

arxiv: 1012.0856 · arxiv_version: 1012.0856v3 · doi: 10.48550/arxiv.1012.0856 · pith_short_12: 3QPUUGAYID3D · pith_short_16: 3QPUUGAYID3DN4NT · pith_short_8: 3QPUUGAY

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/3QPUUGAYID3DN4NTZ72X4HPI4C \
  | 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: dc1f4a181840f636f1b3cff57e1de8e091d1b1ec3c1d132ded448f2bf89a897d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56bfea9a5474a9869ba3e7f3adedd6307ce5f300273dcb860b412af40e34c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T21:28:15Z",
    "title_canon_sha256": "62b9735b09b5ab2e714f2731820bc1f4c9a467c1459d544586343f7e1b7374a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0856",
    "kind": "arxiv",
    "version": 3
  }
}