Pith Number

pith:YAKPQR2W

pith:2013:YAKPQR2WUT6N3ZNPDJ4XN5B6V3

not attested not anchored not stored refs pending

Forbidden minors for graphs with no first obstruction to parametric Feynman integration

Iain Crump, Karen Yeats, Matt DeVos, Samson Black

arxiv:1310.5788 v2 · 2013-10-22 · 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{YAKPQR2WUT6N3ZNPDJ4XN5B6V3}

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	2026-05-18T02:41:10.271416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c014f84756a4fcdde5af1a7976f43eaef3ce233f181e20ce84182e64aabadf08

Aliases

arxiv: 1310.5788 · arxiv_version: 1310.5788v2 · doi: 10.48550/arxiv.1310.5788 · pith_short_12: YAKPQR2WUT6N · pith_short_16: YAKPQR2WUT6N3ZNP · pith_short_8: YAKPQR2W

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/YAKPQR2WUT6N3ZNPDJ4XN5B6V3 \
  | 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: c014f84756a4fcdde5af1a7976f43eaef3ce233f181e20ce84182e64aabadf08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166367eeaf7ae187670a498e153ac35a718225ebbc84c7da2a21c30faf590215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-22T03:13:41Z",
    "title_canon_sha256": "fe8538f14a776e4496440e602b1bdbc3e330c0fd1b9d48af78b76bfab4a9024b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5788",
    "kind": "arxiv",
    "version": 2
  }
}