Pith Number

pith:3NECUL2E

pith:2012:3NECUL2EHY3AUGU3BPX4I6G4RY

not attested not anchored not stored refs pending

Families of building sets and regular wonderful models

Giovanni Gaiffi, Matteo Serventi

arxiv:1210.7688 v1 · 2012-10-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NECUL2EHY3AUGU3BPX4I6G4RY}

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	2026-05-18T03:42:09.079235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db482a2f443e360a1a9b0befc478dc8e381abd4587b13936faa93fc4b6d71e87

Aliases

arxiv: 1210.7688 · arxiv_version: 1210.7688v1 · doi: 10.48550/arxiv.1210.7688 · pith_short_12: 3NECUL2EHY3A · pith_short_16: 3NECUL2EHY3AUGU3 · pith_short_8: 3NECUL2E

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/3NECUL2EHY3AUGU3BPX4I6G4RY \
  | 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: db482a2f443e360a1a9b0befc478dc8e381abd4587b13936faa93fc4b6d71e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defb705d2bcf0552456789fa9d34d50c0ea0b64a6b4b4217906c1437cc7cf766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-29T15:20:09Z",
    "title_canon_sha256": "8849c3da3b2bd72d7c8b7bf167673ec2f5cb12e8309a830c073dc80628d7b91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7688",
    "kind": "arxiv",
    "version": 1
  }
}