Pith Number

pith:NHGRUILM

pith:2019:NHGRUILMXS2MDZE7JFQYS5WGSC

not attested not anchored not stored refs pending

Gorenstein graphic matroids from multigraphs

Max K\"olbl

arxiv:1912.03862 v3 · 2019-12-09 · math.CO · 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{NHGRUILMXS2MDZE7JFQYS5WGSC}

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	2026-07-05T01:15:23.750606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69cd1a216cbcb4c1e49f49618976c690bd5356e78804c2a7d1dd8d107d03e3af

Aliases

arxiv: 1912.03862 · arxiv_version: 1912.03862v3 · doi: 10.48550/arxiv.1912.03862 · pith_short_12: NHGRUILMXS2M · pith_short_16: NHGRUILMXS2MDZE7 · pith_short_8: NHGRUILM

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/NHGRUILMXS2MDZE7JFQYS5WGSC \
  | 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: 69cd1a216cbcb4c1e49f49618976c690bd5356e78804c2a7d1dd8d107d03e3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68ed9899db0a440a54142d7116db0f4fb91e427d3102a3270a8dd199af521fa",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-09T05:52:56Z",
    "title_canon_sha256": "77e1bede239424f8bd96972de646c97c3d3eb4728a185d9550a2a8a4e35f8cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03862",
    "kind": "arxiv",
    "version": 3
  }
}