Pith Number

pith:KQMJZ7SL

pith:2012:KQMJZ7SLTYV2KI5YC2ST5PDYB7

not attested not anchored not stored refs pending

Counting paths in digraphs

Blair D. Sullivan, Paul Seymour

arxiv:1210.8424 v1 · 2012-10-31 · 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{KQMJZ7SLTYV2KI5YC2ST5PDYB7}

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	2026-05-18T03:41:43.435577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54189cfe4b9e2ba523b816a53ebc780fc9cf2142301a7eca888d92ea7c991c35

Aliases

arxiv: 1210.8424 · arxiv_version: 1210.8424v1 · doi: 10.48550/arxiv.1210.8424 · pith_short_12: KQMJZ7SLTYV2 · pith_short_16: KQMJZ7SLTYV2KI5Y · pith_short_8: KQMJZ7SL

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/KQMJZ7SLTYV2KI5YC2ST5PDYB7 \
  | 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: 54189cfe4b9e2ba523b816a53ebc780fc9cf2142301a7eca888d92ea7c991c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47e15832fdeb594db8ae2b02ddd72effc467e69da830de9a0c8b1511baaec38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-31T18:10:25Z",
    "title_canon_sha256": "2c0ca3e3a45e67f2674184fa151a1e9ed25541aea16bc151223c010eb8e28055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8424",
    "kind": "arxiv",
    "version": 1
  }
}