Pith Number

pith:LPNYIOOA

pith:2011:LPNYIOOAV7EUK6SKZCMGEYPTXH

not attested not anchored not stored refs pending

Vanishing ideals over graphs and even cycles

Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal

arxiv:1111.6278 v3 · 2011-11-27 · math.AC · cs.IT · math.AG · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPNYIOOAV7EUK6SKZCMGEYPTXH}

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	2026-05-18T02:29:45.873936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bdb8439c0afc9457a4ac8986261f3b9f7e7df509abea8f53a44a4afed7f119a

Aliases

arxiv: 1111.6278 · arxiv_version: 1111.6278v3 · doi: 10.48550/arxiv.1111.6278 · pith_short_12: LPNYIOOAV7EU · pith_short_16: LPNYIOOAV7EUK6SK · pith_short_8: LPNYIOOA

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/LPNYIOOAV7EUK6SKZCMGEYPTXH \
  | 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: 5bdb8439c0afc9457a4ac8986261f3b9f7e7df509abea8f53a44a4afed7f119a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6877f9bd428afa55a27055b7bfc79e85144433b85e5f0c9353d8fce91403928",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-27T17:18:50Z",
    "title_canon_sha256": "4b0fcaa0849699bdb6928c2a38dfc4700c10ac456ab9b0f1fadcebfe8fac17a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6278",
    "kind": "arxiv",
    "version": 3
  }
}