Pith Number

pith:V6P4BHR5

pith:2015:V6P4BHR5E4QLZJZLJSWXJ5DLFU

not attested not anchored not stored refs pending

A Tutte-type characterization for graph factors

David G.L. Wang, Hongliang Lu

arxiv:1512.05182 v1 · 2015-12-16 · 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{V6P4BHR5E4QLZJZLJSWXJ5DLFU}

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	2026-05-18T01:24:13.317915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9fc09e3d2720bca72b4cad74f46b2d1b8022b5a47cfbb5776e7388500e6876

Aliases

arxiv: 1512.05182 · arxiv_version: 1512.05182v1 · doi: 10.48550/arxiv.1512.05182 · pith_short_12: V6P4BHR5E4QL · pith_short_16: V6P4BHR5E4QLZJZL · pith_short_8: V6P4BHR5

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/V6P4BHR5E4QLZJZLJSWXJ5DLFU \
  | 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: af9fc09e3d2720bca72b4cad74f46b2d1b8022b5a47cfbb5776e7388500e6876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee38364a15fb994a2781244f24a2dcf54a02b880a85590bbafdc1a81a4f69374",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-16T14:22:07Z",
    "title_canon_sha256": "9479263654801e5b6bf4d395f00aa28d2d43994381929288decee5fa77f8f372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05182",
    "kind": "arxiv",
    "version": 1
  }
}