Pith Number

pith:UEES6ZBB

pith:2014:UEES6ZBBLNSM42RF2V4SFQLLNX

not attested not anchored not stored refs pending

Partitions of large unbalanced bipartites

Julien Bureaux (MODAL'X)

arxiv:1401.8169 v2 · 2014-01-31 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEES6ZBBLNSM42RF2V4SFQLLNX}

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	2026-05-17T23:53:14.719279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1092f64215b64ce6a25d57922c16b6de84bc461486edbccad9200fc17342e1b

Aliases

arxiv: 1401.8169 · arxiv_version: 1401.8169v2 · doi: 10.48550/arxiv.1401.8169 · pith_short_12: UEES6ZBBLNSM · pith_short_16: UEES6ZBBLNSM42RF · pith_short_8: UEES6ZBB

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/UEES6ZBBLNSM42RF2V4SFQLLNX \
  | 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: a1092f64215b64ce6a25d57922c16b6de84bc461486edbccad9200fc17342e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cb8a6f3fa984c14197f42134d5ab4f27320f09d784badc4edeb9c9dbc60c7a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-31T14:14:46Z",
    "title_canon_sha256": "5621a4fd1423f6c620944cf533aff7b4bc5d982fccfcace1ef1e7be529a1ab4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8169",
    "kind": "arxiv",
    "version": 2
  }
}