Pith Number

pith:ASR4HRN6

pith:2013:ASR4HRN65KOMJ4RXOPNA6VX5BT

not attested not anchored not stored refs pending

Decomposing Berge graphs and detecting balanced skew partitions

Nicolas Trotignon

arxiv:1309.0680 v1 · 2013-09-03 · 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{ASR4HRN65KOMJ4RXOPNA6VX5BT}

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	2026-05-18T03:14:18.377432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a3c3c5beea9cc4f23773da0f56fd0cf4d4f27cc72509f1408d39d866946784

Aliases

arxiv: 1309.0680 · arxiv_version: 1309.0680v1 · doi: 10.48550/arxiv.1309.0680 · pith_short_12: ASR4HRN65KOM · pith_short_16: ASR4HRN65KOMJ4RX · pith_short_8: ASR4HRN6

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/ASR4HRN65KOMJ4RXOPNA6VX5BT \
  | 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: 04a3c3c5beea9cc4f23773da0f56fd0cf4d4f27cc72509f1408d39d866946784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879579735afd7169ef4fabd3a92a52d44fa6f909ff042769ca6a64cc1f7068a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-03T13:54:25Z",
    "title_canon_sha256": "035f03a6dad926a0dd004126c4e0b5c8a51f5c78fbf2c46135cebcc07df822e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0680",
    "kind": "arxiv",
    "version": 1
  }
}