Pith Number

pith:3HA7ACJ3

pith:2011:3HA7ACJ3HAMJAANXKYRAXEVOMD

not attested not anchored not stored refs pending

Blocks and Cut Vertices of the Buneman Graph

A.W.W. Dress, J. Koolen, K.T. Huber, V. Moulton

arxiv:1101.4927 v1 · 2011-01-25 · 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{3HA7ACJ3HAMJAANXKYRAXEVOMD}

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	2026-05-18T04:30:58.663457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c1f0093b38189001b756220b92ae60f53f4a36243caf071792e7ee1951cd8e

Aliases

arxiv: 1101.4927 · arxiv_version: 1101.4927v1 · doi: 10.48550/arxiv.1101.4927 · pith_short_12: 3HA7ACJ3HAMJ · pith_short_16: 3HA7ACJ3HAMJAANX · pith_short_8: 3HA7ACJ3

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/3HA7ACJ3HAMJAANXKYRAXEVOMD \
  | 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: d9c1f0093b38189001b756220b92ae60f53f4a36243caf071792e7ee1951cd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bbcb970c6d3fa8dec6f503a92f3fdffc532735b3cd0ab008a657fc8f1cece1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-25T20:49:54Z",
    "title_canon_sha256": "f15e7a92a040ddd8665418a68689abc2ba3e7ca68cda9e827b3f36732fbf2b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4927",
    "kind": "arxiv",
    "version": 1
  }
}