Pith Number

pith:CACMRKC7

pith:2013:CACMRKC7MRIHYXKAJ25XNTA3FW

not attested not anchored not stored refs pending

The Merino-Welsh Conjecture holds for Series-Parallel Graphs

Gordon F. Royle, Steven D. Noble

arxiv:1303.6416 v1 · 2013-03-26 · 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{CACMRKC7MRIHYXKAJ25XNTA3FW}

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	2026-05-18T03:29:49.497683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1004c8a85f64507c5d404ebb76cc1b2d954e330f866f7e18fb0ba2786f0dd948

Aliases

arxiv: 1303.6416 · arxiv_version: 1303.6416v1 · doi: 10.48550/arxiv.1303.6416 · pith_short_12: CACMRKC7MRIH · pith_short_16: CACMRKC7MRIHYXKA · pith_short_8: CACMRKC7

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/CACMRKC7MRIHYXKAJ25XNTA3FW \
  | 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: 1004c8a85f64507c5d404ebb76cc1b2d954e330f866f7e18fb0ba2786f0dd948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b0711abbc99c14b1764e26808eecdc18317aed399813585a6bd14352bab01b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-26T09:16:46Z",
    "title_canon_sha256": "08593c3d3db1ebb86aab5ee69c260187661c1d1d1ae58e35518b4f25f1e92c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6416",
    "kind": "arxiv",
    "version": 1
  }
}