Pith Number

pith:JLIRM4EE

pith:2016:JLIRM4EESS3TSX6GOA73VZCRCO

not attested not anchored not stored refs pending

Double-critical graph conjecture for claw-free graphs

Martin Rolek, Zi-Xia Song

arxiv:1610.00636 v2 · 2016-10-03 · 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{JLIRM4EESS3TSX6GOA73VZCRCO}

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	2026-05-18T00:52:33.973914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad116708494b7395fc6703fbae45113b0c02a8c0726c4be59ea79d158539323

Aliases

arxiv: 1610.00636 · arxiv_version: 1610.00636v2 · doi: 10.48550/arxiv.1610.00636 · pith_short_12: JLIRM4EESS3T · pith_short_16: JLIRM4EESS3TSX6G · pith_short_8: JLIRM4EE

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/JLIRM4EESS3TSX6GOA73VZCRCO \
  | 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: 4ad116708494b7395fc6703fbae45113b0c02a8c0726c4be59ea79d158539323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf57b6479acbea05d76532d1b468a55f5add5dc0115603d748b49e0c4649928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-03T17:06:10Z",
    "title_canon_sha256": "ac5822f7fa5a8af82455fb7258b2d642cde00074979b8f966dc482a854c157e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00636",
    "kind": "arxiv",
    "version": 2
  }
}