Pith Number

pith:AXLEFU2O

pith:2011:AXLEFU2OPOHVZ44DG6DTJH3QNA

not attested not anchored not stored refs pending

Avoiding Colored Partitions of Lengths Two and Three

Adam M. Goyt, Lara K. Pudwell

arxiv:1103.0239 v4 · 2011-03-01 · 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{AXLEFU2OPOHVZ44DG6DTJH3QNA}

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	2026-05-18T04:15:36.791241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d642d34e7b8f5cf3833787349f70680a412798de0d951fe8516ddf38d0c944

Aliases

arxiv: 1103.0239 · arxiv_version: 1103.0239v4 · doi: 10.48550/arxiv.1103.0239 · pith_short_12: AXLEFU2OPOHV · pith_short_16: AXLEFU2OPOHVZ44D · pith_short_8: AXLEFU2O

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/AXLEFU2OPOHVZ44DG6DTJH3QNA \
  | 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: 05d642d34e7b8f5cf3833787349f70680a412798de0d951fe8516ddf38d0c944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a00b05bc8fd323328f948d30e8fd3040714539f90812e01515b0b76e8f8347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-01T18:04:46Z",
    "title_canon_sha256": "06e2db3c7f4dfbf197e065a3acbbbc44c765aec33de8cd95f1c554bdf58db697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0239",
    "kind": "arxiv",
    "version": 4
  }
}