Pith Number

pith:F55JXP5C

pith:2017:F55JXP5CPHFIYYGUYPHUQ2JGRK

not attested not anchored not stored refs pending

Word-representability of split graphs

Hehui Wu, Jun Ma, Sergey Kitaev, Yangjing Long

arxiv:1709.09725 v1 · 2017-09-27 · 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{F55JXP5CPHFIYYGUYPHUQ2JGRK}

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	2026-05-18T00:34:06.936473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7a9bbfa279ca8c60d4c3cf4869268ab07afd9bef86aa7eb5fa7a0dea963904

Aliases

arxiv: 1709.09725 · arxiv_version: 1709.09725v1 · doi: 10.48550/arxiv.1709.09725 · pith_short_12: F55JXP5CPHFI · pith_short_16: F55JXP5CPHFIYYGU · pith_short_8: F55JXP5C

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/F55JXP5CPHFIYYGUYPHUQ2JGRK \
  | 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: 2f7a9bbfa279ca8c60d4c3cf4869268ab07afd9bef86aa7eb5fa7a0dea963904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cd0ce439942dc660c50f7decedde6e582327d5d3e1c0e5cf155c18e83f8ca18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-27T20:22:09Z",
    "title_canon_sha256": "7f39735cf8853b606908a3f4793a2aef3dc5ce004c72098a6d368c60c93204ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09725",
    "kind": "arxiv",
    "version": 1
  }
}