Pith Number

pith:Z5VN7TJA

pith:2015:Z5VN7TJAZ3PNXV7Y6UZZCMZUCC

not attested not anchored not stored refs pending

Betti-linear Ideals

Daniel Wood

arxiv:1510.08402 v1 · 2015-10-28 · math.AC · math.AG · 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{Z5VN7TJAZ3PNXV7Y6UZZCMZUCC}

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	2026-05-18T01:28:36.094466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6adfcd20cededbd7f8f5339133341095fba6f5ff26a0144bff84e526158c7d

Aliases

arxiv: 1510.08402 · arxiv_version: 1510.08402v1 · doi: 10.48550/arxiv.1510.08402 · pith_short_12: Z5VN7TJAZ3PN · pith_short_16: Z5VN7TJAZ3PNXV7Y · pith_short_8: Z5VN7TJA

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/Z5VN7TJAZ3PNXV7Y6UZZCMZUCC \
  | 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: cf6adfcd20cededbd7f8f5339133341095fba6f5ff26a0144bff84e526158c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be54c0e821d7f9a26efdadf8e4b871abb266bec7a71ca6c8226e93900bf4e2f3",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-10-28T18:19:46Z",
    "title_canon_sha256": "708e7d803e65c2a17237f39c3f92ce09ad7ec232766db1081b9f14d75a64320d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08402",
    "kind": "arxiv",
    "version": 1
  }
}