Pith Number

pith:DNDFN2GB

pith:2007:DNDFN2GB2LIMCL4BZJ2CKJ5S6J

not attested not anchored not stored refs pending

The complexity of nonrepetitive edge coloring of graphs

Fedor Manin

arxiv:0709.4497 v2 · 2007-09-27 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNDFN2GB2LIMCL4BZJ2CKJ5S6J}

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	2026-07-04T15:06:03.916170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4656e8c1d2d0c12f81ca742527b2f262b379d22dd1bdc7d3eaeba5f4be050b

Aliases

arxiv: 0709.4497 · arxiv_version: 0709.4497v2 · doi: 10.48550/arxiv.0709.4497 · pith_short_12: DNDFN2GB2LIM · pith_short_16: DNDFN2GB2LIMCL4B · pith_short_8: DNDFN2GB

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/DNDFN2GB2LIMCL4BZJ2CKJ5S6J \
  | 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: 1b4656e8c1d2d0c12f81ca742527b2f262b379d22dd1bdc7d3eaeba5f4be050b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cdcb9b26d424d896c25d750aca33ef4627ba4a64db8f634f738328fb2ac2e1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-09-27T20:56:42Z",
    "title_canon_sha256": "f4d93ba62bcf09906dc3b3e54fbba00f0c2d77fffb8c59a9dbb574b87f75b2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4497",
    "kind": "arxiv",
    "version": 2
  }
}