Pith Number

pith:DNTOOJBY

pith:2024:DNTOOJBYCO4N7REQBQDLKEBIHH

not attested not anchored not stored refs pending

Uniquely $C_{4}^{+}$-saturated graphs

D\'aniel Gerbner, Kexiang Xu, Wenzhong Liu, Yuying Li

arxiv:2412.17962 v1 · 2024-12-23 · 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{DNTOOJBYCO4N7REQBQDLKEBIHH}

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	2026-07-05T09:53:31.443627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b66e7243813b8dfc4900c06b5102839ef350a95c0146be92b7d3c68b27360cf

Aliases

arxiv: 2412.17962 · arxiv_version: 2412.17962v1 · doi: 10.48550/arxiv.2412.17962 · pith_short_12: DNTOOJBYCO4N · pith_short_16: DNTOOJBYCO4N7REQ · pith_short_8: DNTOOJBY

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/DNTOOJBYCO4N7REQBQDLKEBIHH \
  | 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: 1b66e7243813b8dfc4900c06b5102839ef350a95c0146be92b7d3c68b27360cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978ee8d4de1f02e4d3c39b988f5ffc1c2cfd8d58026ba5bdfa71a1e8a267b49b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-23T20:19:02Z",
    "title_canon_sha256": "49e47639ce2c33dfb31b02e53d28ce8ad7e4d0d559d878cbae3186effa994634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17962",
    "kind": "arxiv",
    "version": 1
  }
}