Pith Number

pith:QLPQF36C

pith:2009:QLPQF36C6T6YK4TMOZBIVXEV6O

not attested not anchored not stored refs pending

Weighted Graph Colorings

Robert Shrock, Shu-Chiuan Chang

arxiv:0908.2375 v1 · 2009-08-17 · math-ph · cond-mat.stat-mech · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLPQF36C6T6YK4TMOZBIVXEV6O}

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	2026-05-18T02:12:33.411059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82df02efc2f4fd85726c76428adc95f3b8e1e30922c7901d4fbf62089b7d09fe

Aliases

arxiv: 0908.2375 · arxiv_version: 0908.2375v1 · doi: 10.48550/arxiv.0908.2375 · pith_short_12: QLPQF36C6T6Y · pith_short_16: QLPQF36C6T6YK4TM · pith_short_8: QLPQF36C

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/QLPQF36C6T6YK4TMOZBIVXEV6O \
  | 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: 82df02efc2f4fd85726c76428adc95f3b8e1e30922c7901d4fbf62089b7d09fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4db42a4fb1d9f30ca2fd34683b35c3347d4b0a98de5ad549251159f4806652d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-17T15:43:44Z",
    "title_canon_sha256": "a048c27f5a0bc53bc5431743ec73b6d67bc7873ceb2e9b7bab774432754145d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2375",
    "kind": "arxiv",
    "version": 1
  }
}