Pith Number

pith:X5OEEZ4K

pith:2015:X5OEEZ4K6KKZF6MNHX45KT7DLR

not attested not anchored not stored refs pending

A non-partitionable Cohen-Macaulay simplicial complex

Art M. Duval, Bennet Goeckner, Caroline J. Klivans, Jeremy L. Martin

arxiv:1504.04279 v3 · 2015-04-16 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5OEEZ4K6KKZF6MNHX45KT7DLR}

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	2026-05-18T01:12:49.940053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5c42678af29592f98d3df9d54fe35c5ebd034aa914c423d73429c164fc1676

Aliases

arxiv: 1504.04279 · arxiv_version: 1504.04279v3 · doi: 10.48550/arxiv.1504.04279 · pith_short_12: X5OEEZ4K6KKZ · pith_short_16: X5OEEZ4K6KKZF6MN · pith_short_8: X5OEEZ4K

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/X5OEEZ4K6KKZF6MNHX45KT7DLR \
  | 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: bf5c42678af29592f98d3df9d54fe35c5ebd034aa914c423d73429c164fc1676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e666d8dd90ab6839a61fe085eeece51b2d5938f732e4202af3d31ed628a79450",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T15:49:10Z",
    "title_canon_sha256": "dbd7383f086f6b5fb917b4542908c5686ffb0f2016c65901da6a4c531cb8ce3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04279",
    "kind": "arxiv",
    "version": 3
  }
}