Pith Number

pith:LDC4EREB

pith:2011:LDC4EREBRYE44J74E4EGS5XB6H

not attested not anchored not stored refs pending

Toric Topology. Chapter 3: Commutative and homological algebra of face rings

Taras Panov, Victor Buchstaber

arxiv:1108.0181 v2 · 2011-07-31 · math.AC · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDC4EREBRYE44J74E4EGS5XB6H}

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	2026-05-18T03:43:42.522482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c5c244818e09ce27fc27086976e1f1e506ad246b5e0c9fdc657f0f0032fb67

Aliases

arxiv: 1108.0181 · arxiv_version: 1108.0181v2 · doi: 10.48550/arxiv.1108.0181 · pith_short_12: LDC4EREBRYE4 · pith_short_16: LDC4EREBRYE44J74 · pith_short_8: LDC4EREB

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/LDC4EREBRYE44J74E4EGS5XB6H \
  | 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: 58c5c244818e09ce27fc27086976e1f1e506ad246b5e0c9fdc657f0f0032fb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda4529f5c848f2f0ee429db28189fbb7e8af97b10acf801c38bbd98130cf652",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-31T14:59:50Z",
    "title_canon_sha256": "e680d1aed5e941fbe3d53d4c0835f402815ece23bd99b5a9395d57bd0f8c72a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0181",
    "kind": "arxiv",
    "version": 2
  }
}