Pith Number

pith:6GWZCKHG

pith:2013:6GWZCKHGAMR7CLK7CJM4RSIV6F

not attested not anchored not stored refs pending

Squarefree P-modules and the cd-index

Kohji Yanagawa, Satoshi Murai

arxiv:1310.3888 v1 · 2013-10-15 · 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{6GWZCKHGAMR7CLK7CJM4RSIV6F}

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	2026-05-18T03:10:25.740450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ad9128e60323f12d5f1259c8c915f144b84d599616c6abdc9de50edc2ff7df

Aliases

arxiv: 1310.3888 · arxiv_version: 1310.3888v1 · doi: 10.48550/arxiv.1310.3888 · pith_short_12: 6GWZCKHGAMR7 · pith_short_16: 6GWZCKHGAMR7CLK7 · pith_short_8: 6GWZCKHG

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/6GWZCKHGAMR7CLK7CJM4RSIV6F \
  | 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: f1ad9128e60323f12d5f1259c8c915f144b84d599616c6abdc9de50edc2ff7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f53666dd4e86ba6c45e2ba03d6034be12d010b7233adc255aadf6cc5220b18a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-15T00:37:42Z",
    "title_canon_sha256": "6c450bbd6e12b57b9b118a8160777f2e4d7e404ed7d83a9078369deca53a789b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3888",
    "kind": "arxiv",
    "version": 1
  }
}