Pith Number

pith:LWACRMBG

pith:2012:LWACRMBGCHDUP72H4QQNX2KTZI

not attested not anchored not stored refs pending

On large bipartite graphs of diameter 3

Guillermo Pineda-Villavicencio, Mirka Miller, Ramiro Feria-Puron

arxiv:1203.3588 v1 · 2012-03-15 · 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{LWACRMBGCHDUP72H4QQNX2KTZI}

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	2026-05-18T02:52:42.398050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8028b02611c747ff47e420dbe953ca294415f4c125c0ba0f9b1c17d7225141

Aliases

arxiv: 1203.3588 · arxiv_version: 1203.3588v1 · doi: 10.48550/arxiv.1203.3588 · pith_short_12: LWACRMBGCHDU · pith_short_16: LWACRMBGCHDUP72H · pith_short_8: LWACRMBG

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/LWACRMBGCHDUP72H4QQNX2KTZI \
  | 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: 5d8028b02611c747ff47e420dbe953ca294415f4c125c0ba0f9b1c17d7225141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed562a7b3b05fa3dce61fa7e7d03fdeec720c3e9abd99c1a636315a6bd2ad80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-15T23:10:30Z",
    "title_canon_sha256": "4cef8ef5a6b2aa9edc9472a805aa3feb4c14489ed71d8e4eca7de844e3a59433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3588",
    "kind": "arxiv",
    "version": 1
  }
}