Pith Number

pith:TQGMARTA

pith:2012:TQGMARTAKSXIVZW3QA4PZFPHR6

not attested not anchored not stored refs pending

The ${\rm N}_{2,p}$-property of binomial extensions of simplicial complexes

Hernan de Alba Casillas, Marcel Morales

arxiv:1211.5364 v3 · 2012-11-22 · math.AC · 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{TQGMARTAKSXIVZW3QA4PZFPHR6}

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	2026-05-18T03:39:27.806792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0cc0466054ae8ae6db8038fc95e78fa5c6af5a3631d61c60ce070014e9b9d8

Aliases

arxiv: 1211.5364 · arxiv_version: 1211.5364v3 · doi: 10.48550/arxiv.1211.5364 · pith_short_12: TQGMARTAKSXI · pith_short_16: TQGMARTAKSXIVZW3 · pith_short_8: TQGMARTA

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/TQGMARTAKSXIVZW3QA4PZFPHR6 \
  | 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: 9c0cc0466054ae8ae6db8038fc95e78fa5c6af5a3631d61c60ce070014e9b9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d7281335fea1c82f4ad8ed88ff3789d9a5427afd86b95dcd4eefe95b484119",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-22T20:06:34Z",
    "title_canon_sha256": "5c0a3c0b6708046ccb22209c9291c57841bbbdccc1ea90971d5f970494899233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5364",
    "kind": "arxiv",
    "version": 3
  }
}