Pith Number

pith:M7O7O3WO

pith:2013:M7O7O3WOSJ26FRQPJHEIPRV4YZ

not attested not anchored not stored refs pending

Frobenius vectors, Hilbert series and gluings

Abdallah Assi, Ignacio Ojeda, Pedro A. Garc\'ia-S\'anchez

arxiv:1311.1988 v1 · 2013-11-08 · 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{M7O7O3WOSJ26FRQPJHEIPRV4YZ}

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	2026-05-18T03:07:41.803586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ddf76ece9275e2c60f49c887c6bcc6467f876ed045da94af6ceb20452905ec

Aliases

arxiv: 1311.1988 · arxiv_version: 1311.1988v1 · doi: 10.48550/arxiv.1311.1988 · pith_short_12: M7O7O3WOSJ26 · pith_short_16: M7O7O3WOSJ26FRQP · pith_short_8: M7O7O3WO

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/M7O7O3WOSJ26FRQPJHEIPRV4YZ \
  | 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: 67ddf76ece9275e2c60f49c887c6bcc6467f876ed045da94af6ceb20452905ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77678ed4ad711d5c5f582327c8912142124990bd4408226195ae2e935709113c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-11-08T14:46:11Z",
    "title_canon_sha256": "893438ea4ca550d795688d024c6d6eaceefe029cdd281a5854d59675ceddcd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1988",
    "kind": "arxiv",
    "version": 1
  }
}