Pith Number

pith:G53JAE5I

pith:2010:G53JAE5IJ2AI7RKOPEUXQPXZLM

not attested not anchored not stored refs pending

A better tester for bipartiteness?

Andrej Bogdanov, Fan Li

arxiv:1011.0531 v1 · 2010-11-02 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G53JAE5IJ2AI7RKOPEUXQPXZLM}

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	2026-05-18T04:37:21.397626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37769013a84e808fc54e7929783ef95b019cf7f3b2e8b4be8fd73764f44d732c

Aliases

arxiv: 1011.0531 · arxiv_version: 1011.0531v1 · doi: 10.48550/arxiv.1011.0531 · pith_short_12: G53JAE5IJ2AI · pith_short_16: G53JAE5IJ2AI7RKO · pith_short_8: G53JAE5I

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/G53JAE5IJ2AI7RKOPEUXQPXZLM \
  | 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: 37769013a84e808fc54e7929783ef95b019cf7f3b2e8b4be8fd73764f44d732c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998665a51f618aed1f6cfa47c376907623eb25c92b391686cab093c513d58df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-11-02T07:48:15Z",
    "title_canon_sha256": "e27c988cee322f8b322157378878b977335095613caa9df904f86ca7b6fa538c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0531",
    "kind": "arxiv",
    "version": 1
  }
}