Pith Number

pith:DBYGKRCW

pith:2011:DBYGKRCW22KQ64VNB5535FLYOB

not attested not anchored not stored refs pending

Rainbow-free 3-colorings of Abelian Groups

Amanda Montejano, Oriol Serra

arxiv:1104.0194 v1 · 2011-04-01 · 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{DBYGKRCW22KQ64VNB5535FLYOB}

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	2026-05-18T04:25:12.190998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1870654456d6950f72ad0f7bbe9578704b5b4fe24ec300b259edd21d9d632d8a

Aliases

arxiv: 1104.0194 · arxiv_version: 1104.0194v1 · doi: 10.48550/arxiv.1104.0194 · pith_short_12: DBYGKRCW22KQ · pith_short_16: DBYGKRCW22KQ64VN · pith_short_8: DBYGKRCW

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/DBYGKRCW22KQ64VNB5535FLYOB \
  | 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: 1870654456d6950f72ad0f7bbe9578704b5b4fe24ec300b259edd21d9d632d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1872d89283d14671e6b85fcd08a59fc852861a8b8a6f5ecde2abf9afe9d45b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-01T15:11:00Z",
    "title_canon_sha256": "f580ff57083f2407cb3ce30ae2177c507e77d2e70ddb2751c361e51a58d92e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0194",
    "kind": "arxiv",
    "version": 1
  }
}