Pith Number

pith:SXOVOPNO

pith:2015:SXOVOPNOGZRGPYQ5TJ4QPW2SB3

not attested not anchored not stored refs pending

Surface embedding of non-bipartite $k$-extendable graphs

David G.L. Wang, Hongliang Lu

arxiv:1501.05398 v1 · 2015-01-22 · 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{SXOVOPNOGZRGPYQ5TJ4QPW2SB3}

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	2026-05-18T02:28:54.684484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95dd573dae366267e21d9a7907db520ee8fd0a48ba551048841d7c6ac3390685

Aliases

arxiv: 1501.05398 · arxiv_version: 1501.05398v1 · doi: 10.48550/arxiv.1501.05398 · pith_short_12: SXOVOPNOGZRG · pith_short_16: SXOVOPNOGZRGPYQ5 · pith_short_8: SXOVOPNO

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/SXOVOPNOGZRGPYQ5TJ4QPW2SB3 \
  | 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: 95dd573dae366267e21d9a7907db520ee8fd0a48ba551048841d7c6ac3390685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4806a0eae6ff601785b4afab44dd4d5cc2833d7ee2b4c367a379496cc88c7076",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-22T05:32:06Z",
    "title_canon_sha256": "dc468a4c3bddbffa595aa13b4ceb436bf5d7b46c79f9e5087aeb58b5b44d258f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05398",
    "kind": "arxiv",
    "version": 1
  }
}