Pith Number

pith:O7OITO5R

pith:2012:O7OITO5R5A2VEO2OS3DKIXZT7T

not attested not anchored not stored refs pending

Connected tree-width

Malte M\"uller, Reinhard Diestel

arxiv:1211.7353 v3 · 2012-11-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7OITO5R5A2VEO2OS3DKIXZT7T}

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	2026-05-18T01:30:15.822408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77dc89bbb1e835523b4e96c6a45f33fcc9982cfc4b961495126a8801a67b2f04

Aliases

arxiv: 1211.7353 · arxiv_version: 1211.7353v3 · doi: 10.48550/arxiv.1211.7353 · pith_short_12: O7OITO5R5A2V · pith_short_16: O7OITO5R5A2VEO2O · pith_short_8: O7OITO5R

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/O7OITO5R5A2VEO2OS3DKIXZT7T \
  | 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: 77dc89bbb1e835523b4e96c6a45f33fcc9982cfc4b961495126a8801a67b2f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41a2181cffa919579d6776951bd55c90adb6022fd423595a56bf8b08df0d479",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-30T19:50:07Z",
    "title_canon_sha256": "be7b01399944dffa86a10f767a2fa23b86aa64f4ffc37c07ef45fe9feedbaa0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7353",
    "kind": "arxiv",
    "version": 3
  }
}