Pith Number

pith:4HCJHOUH

pith:2011:4HCJHOUHAWQW26KAMJ2XD7RNP5

not attested not anchored not stored refs pending

Integer realizations of disk and segment graphs

Colin McDiarmid, Tobias Muller

arxiv:1111.2931 v3 · 2011-11-12 · math.MG · cs.CG · 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{4HCJHOUHAWQW26KAMJ2XD7RNP5}

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	2026-05-18T02:21:34.726064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c493ba8705a16d7940627571fe2d7f46442126169a166139bac3f0895ba5e3

Aliases

arxiv: 1111.2931 · arxiv_version: 1111.2931v3 · doi: 10.48550/arxiv.1111.2931 · pith_short_12: 4HCJHOUHAWQW · pith_short_16: 4HCJHOUHAWQW26KA · pith_short_8: 4HCJHOUH

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/4HCJHOUHAWQW26KAMJ2XD7RNP5 \
  | 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: e1c493ba8705a16d7940627571fe2d7f46442126169a166139bac3f0895ba5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5e95024f61ec76ef3b545802f8b24c6e28051e92a4e9ebeafcc7de1d9277ff",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-12T14:09:25Z",
    "title_canon_sha256": "c29107a47ec41a234539823cd3aa391668b4a6d65950d24d52e6fd0886d83a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2931",
    "kind": "arxiv",
    "version": 3
  }
}