Pith Number

pith:35AZ3QJH

pith:2018:35AZ3QJHM3PUMWPHLXQQAEKLNZ

not attested not anchored not stored refs pending

On planar bipartite biregular degree sequences

Patrick Adams, Yuri Nikolayevsky

arxiv:1805.02048 v1 · 2018-05-05 · 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{35AZ3QJHM3PUMWPHLXQQAEKLNZ}

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	2026-05-18T00:16:41.097262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df419dc12766df4659e75de100114b6e780f369de1bf613332c6cc218b39f634

Aliases

arxiv: 1805.02048 · arxiv_version: 1805.02048v1 · doi: 10.48550/arxiv.1805.02048 · pith_short_12: 35AZ3QJHM3PU · pith_short_16: 35AZ3QJHM3PUMWPH · pith_short_8: 35AZ3QJH

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/35AZ3QJHM3PUMWPHLXQQAEKLNZ \
  | 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: df419dc12766df4659e75de100114b6e780f369de1bf613332c6cc218b39f634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77981368254db273ce75a9785e3eaa18ef3b83d4a570537ff6d5ffc817172bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-05T12:01:16Z",
    "title_canon_sha256": "11af03678b65f7576ad3bb25ed7f2f61a59514dbeb2f778137209005e17aaa05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02048",
    "kind": "arxiv",
    "version": 1
  }
}