Pith Number

pith:IX5CL4VA

pith:2017:IX5CL4VAHJA2ORG4HQI2XA3T2O

not attested not anchored not stored refs pending

$t$-clique ideal and $t$-independence ideal of a graph

Somayeh Moradi

arxiv:1712.00583 v1 · 2017-12-02 · 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{IX5CL4VAHJA2ORG4HQI2XA3T2O}

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	2026-05-18T00:29:04.792561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fa25f2a03a41a744dc3c11ab8373d38b9082e25ea6597bc6fa119e21c400ce

Aliases

arxiv: 1712.00583 · arxiv_version: 1712.00583v1 · doi: 10.48550/arxiv.1712.00583 · pith_short_12: IX5CL4VAHJA2 · pith_short_16: IX5CL4VAHJA2ORG4 · pith_short_8: IX5CL4VA

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/IX5CL4VAHJA2ORG4HQI2XA3T2O \
  | 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: 45fa25f2a03a41a744dc3c11ab8373d38b9082e25ea6597bc6fa119e21c400ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfa9836216fb0566a82155930e028323b086dc0757d50321dc94726cb632350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-02T10:08:42Z",
    "title_canon_sha256": "c75c5888a349e0916e964f15a8370bf066b157e38ae6a139d045af97404e2878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00583",
    "kind": "arxiv",
    "version": 1
  }
}