Pith Number

pith:4NQZIMCP

pith:2014:4NQZIMCPX5HL2URSFBA3QYBEJO

not attested not anchored not stored refs pending

The robust component structure of dense regular graphs and applications

Allan Lo, Daniela K\"uhn, Deryk Osthus, Katherine Staden

arxiv:1401.0424 v2 · 2014-01-02 · 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{4NQZIMCPX5HL2URSFBA3QYBEJO}

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	2026-05-18T00:44:29.223397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36194304fbf4ebd52322841b860244b86f1b0c117e4854433ebee5f1386ffe7

Aliases

arxiv: 1401.0424 · arxiv_version: 1401.0424v2 · doi: 10.48550/arxiv.1401.0424 · pith_short_12: 4NQZIMCPX5HL · pith_short_16: 4NQZIMCPX5HL2URS · pith_short_8: 4NQZIMCP

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/4NQZIMCPX5HL2URSFBA3QYBEJO \
  | 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: e36194304fbf4ebd52322841b860244b86f1b0c117e4854433ebee5f1386ffe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd728a720da9a753db0f31b594fe5f12f0c2904861f4bba5708bf0c48de2e37a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-02T12:09:58Z",
    "title_canon_sha256": "a0c663903e1778e4048a978d5f6d301a326bf1bb888fc92001d1ff5e9ae2ada3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0424",
    "kind": "arxiv",
    "version": 2
  }
}