Pith Number

pith:Y4D2HPT4

pith:2013:Y4D2HPT4CAY36IVTDGCJD4QRDV

not attested not anchored not stored refs pending

Circumference and Pathwidth of Highly Connected Graphs

David R. Wood, Emily A. Marshall

arxiv:1309.7683 v2 · 2013-09-30 · 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{Y4D2HPT4CAY36IVTDGCJD4QRDV}

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	2026-05-18T01:56:00.081176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c707a3be7c1031bf22b3198491f2111d695c95e6a26ae24d9ff9e9f07802a347

Aliases

arxiv: 1309.7683 · arxiv_version: 1309.7683v2 · doi: 10.48550/arxiv.1309.7683 · pith_short_12: Y4D2HPT4CAY3 · pith_short_16: Y4D2HPT4CAY36IVT · pith_short_8: Y4D2HPT4

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/Y4D2HPT4CAY36IVTDGCJD4QRDV \
  | 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: c707a3be7c1031bf22b3198491f2111d695c95e6a26ae24d9ff9e9f07802a347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7f5874e26a604c15a0a03ff18564200621525922364e05f1ba2597465cae25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-30T00:27:46Z",
    "title_canon_sha256": "902b928bf17524a5e021776009ffa980e38bbeff7b78da5361088325dcc29644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7683",
    "kind": "arxiv",
    "version": 2
  }
}