Pith Number

pith:JR7CXUX4

pith:2012:JR7CXUX47NXWEI4ZZATYQ7J2N4

not attested not anchored not stored refs pending

Vertex Splitting and Upper Embeddable Graphs

Guanghua Dong, Han Ren, Ning Wang, Yanpei Liu, Yuanqiu Huang

arxiv:1203.0840 v1 · 2012-03-05 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JR7CXUX47NXWEI4ZZATYQ7J2N4}

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	2026-05-18T04:00:50.413672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7e2bd2fcfb6f622399c827887d3a6f22652b60159070b15c7d644738042309

Aliases

arxiv: 1203.0840 · arxiv_version: 1203.0840v1 · doi: 10.48550/arxiv.1203.0840 · pith_short_12: JR7CXUX47NXW · pith_short_16: JR7CXUX47NXWEI4Z · pith_short_8: JR7CXUX4

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/JR7CXUX47NXWEI4ZZATYQ7J2N4 \
  | 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: 4c7e2bd2fcfb6f622399c827887d3a6f22652b60159070b15c7d644738042309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef69d859bf27ccbb9376c100c77110c73b0f3bad22a84584b911e4af7fe45cd9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-05T09:30:55Z",
    "title_canon_sha256": "55280aed6e53c4fd53fab70b9a27dd95b180b89a2243ff5438f03b8b4a1bf8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0840",
    "kind": "arxiv",
    "version": 1
  }
}