Pith Number

pith:JC5MDDYS

pith:2015:JC5MDDYSBCCWHY7X3ZGTNBOCGE

not attested not anchored not stored refs pending

Matroid invariants and counting graph homomorphisms

Andrew Goodall, Guus Regts, Lluis Vena

arxiv:1512.01507 v2 · 2015-12-04 · 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{JC5MDDYSBCCWHY7X3ZGTNBOCGE}

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	2026-05-18T01:20:03.275860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48bac18f12088563e3f7de4d3685c2312e3dcfd3d9c38d936b4683229793242f

Aliases

arxiv: 1512.01507 · arxiv_version: 1512.01507v2 · doi: 10.48550/arxiv.1512.01507 · pith_short_12: JC5MDDYSBCCW · pith_short_16: JC5MDDYSBCCWHY7X · pith_short_8: JC5MDDYS

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/JC5MDDYSBCCWHY7X3ZGTNBOCGE \
  | 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: 48bac18f12088563e3f7de4d3685c2312e3dcfd3d9c38d936b4683229793242f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6440526bc8d6c53a4eafd2b06ec1b81d4462f5589266f28e5cafec6f68101612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-04T18:39:03Z",
    "title_canon_sha256": "a8b24471e6559bf9a09b35d63f58133e9a35c1556ba9c1977375539e1fb86524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01507",
    "kind": "arxiv",
    "version": 2
  }
}