Pith Number

pith:27OQGG3J

pith:2003:27OQGG3JKY3YLP7FWLQ3JQUZXO

not attested not anchored not stored refs pending

On spaces of connected graphs I: Properties of Ladders

Jan Kneissler

arxiv:math/0301018 v1 · 2003-01-03 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27OQGG3JKY3YLP7FWLQ3JQUZXO}

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.

Cited by

1 paper in Pith

M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

Receipt and verification

First computed	2026-07-04T14:36:52.613022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dd031b69563785bfe5b2e1b4c299bbb9c161c802c00173686fce381839dce1

Aliases

arxiv: math/0301018 · arxiv_version: math/0301018v1 · doi: 10.48550/arxiv.math/0301018 · pith_short_12: 27OQGG3JKY3Y · pith_short_16: 27OQGG3JKY3YLP7F · pith_short_8: 27OQGG3J

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/27OQGG3JKY3YLP7FWLQ3JQUZXO \
  | 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: d7dd031b69563785bfe5b2e1b4c299bbb9c161c802c00173686fce381839dce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8d34216f334ae0300c485e19f8d1ee8a89bf770a90ab22e489f08d9fd487cb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-01-03T10:22:18Z",
    "title_canon_sha256": "b75eae561ed0f1fbcae20c43dfe9c18ae369aa33557b724d3a0d4816659f14f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301018",
    "kind": "arxiv",
    "version": 1
  }
}