Pith Number

pith:TXG6Q4QC

pith:2013:TXG6Q4QCMRCLM5WYWOIMAFODZV

not attested not anchored not stored refs pending

The monomial ideal of independent sets associated to a graph

Oana Olteanu

arxiv:1307.3050 v1 · 2013-07-11 · 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{TXG6Q4QCMRCLM5WYWOIMAFODZV}

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	2026-05-18T03:18:41.409330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcde872026444b676d8b390c015c3cd7bcd434277612a406d56c3d9aa748961

Aliases

arxiv: 1307.3050 · arxiv_version: 1307.3050v1 · doi: 10.48550/arxiv.1307.3050 · pith_short_12: TXG6Q4QCMRCL · pith_short_16: TXG6Q4QCMRCLM5WY · pith_short_8: TXG6Q4QC

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/TXG6Q4QCMRCLM5WYWOIMAFODZV \
  | 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: 9dcde872026444b676d8b390c015c3cd7bcd434277612a406d56c3d9aa748961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a177e15616f3f3db782adeaf8179fee277a4ec23438c1c310ad741b6ac54f7a1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-11T10:52:13Z",
    "title_canon_sha256": "621cdb7e29d308397034564ea91e917089f6cb2493d164f61e8d54ed031607a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3050",
    "kind": "arxiv",
    "version": 1
  }
}