Pith Number

pith:WWIRADL3

pith:2013:WWIRADL3MVOP4BFCVCSGWZYQ2I

not attested not anchored not stored refs pending

The uniform face ideals of a simplicial complex

David Cook II

arxiv:1308.1299 v1 · 2013-08-06 · 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{WWIRADL3MVOP4BFCVCSGWZYQ2I}

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	2026-05-18T03:16:39.218867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b591100d7b655cfe04a2a8a46b6710d239ea7a1de6675d761c92b7c364fb61bd

Aliases

arxiv: 1308.1299 · arxiv_version: 1308.1299v1 · doi: 10.48550/arxiv.1308.1299 · pith_short_12: WWIRADL3MVOP · pith_short_16: WWIRADL3MVOP4BFC · pith_short_8: WWIRADL3

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/WWIRADL3MVOP4BFCVCSGWZYQ2I \
  | 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: b591100d7b655cfe04a2a8a46b6710d239ea7a1de6675d761c92b7c364fb61bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b733475af9b3be8e9de3687006d5b5196280bf031fecac2167be72e8c85f9dc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-06T15:10:02Z",
    "title_canon_sha256": "ee2dd7a2a6c8a6db0f3f7e84f6abc9c5a8dbbf5cdf4b3edc597e917f5612b015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1299",
    "kind": "arxiv",
    "version": 1
  }
}