Pith Number

pith:V673YIL7

pith:2011:V673YIL7L7WG44VF6FBFJYAW44

not attested not anchored not stored refs pending

Second syzygies of monomial submodules from walks

Alastair Craw, Alexander Quintero Velez

arxiv:1111.6018 v2 · 2011-11-25 · math.AC · 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{V673YIL7L7WG44VF6FBFJYAW44}

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	2026-05-18T03:52:38.685060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbfbc217f5fec6e72a5f14254e016e725e5bf7798895d7f8655fd2fc4478343

Aliases

arxiv: 1111.6018 · arxiv_version: 1111.6018v2 · doi: 10.48550/arxiv.1111.6018 · pith_short_12: V673YIL7L7WG · pith_short_16: V673YIL7L7WG44VF · pith_short_8: V673YIL7

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/V673YIL7L7WG44VF6FBFJYAW44 \
  | 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: afbfbc217f5fec6e72a5f14254e016e725e5bf7798895d7f8655fd2fc4478343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0946c20ab076183df3e2b0168289c5717178129cd78169de43cd8e8b4df4df7e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-25T15:20:58Z",
    "title_canon_sha256": "6288883a2ee1689956420bc34ee8e5f9e99e8d2f8ccc2cb13f2a0d3fea2f9811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6018",
    "kind": "arxiv",
    "version": 2
  }
}