Pith Number

pith:GCAEZA67

pith:2014:GCAEZA67TG6VT2MLXITB7QH54H

not attested not anchored not stored refs pending

Let \Delta be a Cohen-Macaulay complex

Anders Bj\"orner

arxiv:1411.2165 v1 · 2014-11-08 · 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{GCAEZA67TG6VT2MLXITB7QH54H}

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	2026-05-18T02:38:08.313491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30804c83df99bd59e98bba261fc0fde1f0dc238a08b6349adaad41f7c04aed12

Aliases

arxiv: 1411.2165 · arxiv_version: 1411.2165v1 · doi: 10.48550/arxiv.1411.2165 · pith_short_12: GCAEZA67TG6V · pith_short_16: GCAEZA67TG6VT2ML · pith_short_8: GCAEZA67

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/GCAEZA67TG6VT2MLXITB7QH54H \
  | 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: 30804c83df99bd59e98bba261fc0fde1f0dc238a08b6349adaad41f7c04aed12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3085f9e90b3ed89a0c469846328afee6046acf63a4be415669c630dcd215e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-08T21:44:42Z",
    "title_canon_sha256": "6ed755f77d08f3373ff2092a105d0863dae0739a32baf0ea0bca8b365bb7a157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2165",
    "kind": "arxiv",
    "version": 1
  }
}