Pith Number

pith:CD4NMMAR

pith:2025:CD4NMMARNOMZ5FKHEITAKLXE34

not attested not anchored not stored refs pending

The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture

Francesco Barioli, Himanshu Gupta, Shaun M. Fallat, Zhongshan Li

arxiv:2505.24577 v1 · 2025-05-30 · 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{CD4NMMARNOMZ5FKHEITAKLXE34}

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	2026-07-05T11:12:52.549515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f8d630116b999e95472226052ee4df32c8c865388261389e2b17a1a2a359f7

Aliases

arxiv: 2505.24577 · arxiv_version: 2505.24577v1 · doi: 10.48550/arxiv.2505.24577 · pith_short_12: CD4NMMARNOMZ · pith_short_16: CD4NMMARNOMZ5FKH · pith_short_8: CD4NMMAR

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/CD4NMMARNOMZ5FKHEITAKLXE34 \
  | 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: 10f8d630116b999e95472226052ee4df32c8c865388261389e2b17a1a2a359f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2cde9fc60642969f5ced5024c197ea8df07982d53dd374d619a85dd412cafa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-30T13:26:45Z",
    "title_canon_sha256": "e549f3280b76fb3b7aecb6206f0290cb0a8f09105e6eb12858794a43573ce29c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24577",
    "kind": "arxiv",
    "version": 1
  }
}