Pith Number

pith:7BT65PAN

pith:2003:7BT65PANMNOKE32ALVXXBTBV63

not attested not anchored not stored refs pending

On spaces of connected graphs III: The Ladder Filtration

Jan Kneissler

arxiv:math/0301020 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{7BT65PANMNOKE32ALVXXBTBV63}

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	2026-07-04T15:52:39.133515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f867eebc0d635ca26f405d6f70cc35f6dd00d677d565afe36176d5f8d3773788

Aliases

arxiv: math/0301020 · arxiv_version: math/0301020v1 · doi: 10.48550/arxiv.math/0301020 · pith_short_12: 7BT65PANMNOK · pith_short_16: 7BT65PANMNOKE32A · pith_short_8: 7BT65PAN

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/7BT65PANMNOKE32ALVXXBTBV63 \
  | 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: f867eebc0d635ca26f405d6f70cc35f6dd00d677d565afe36176d5f8d3773788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7807196f6054e4042ea2c8486a1968bda8180f2a50aec185673fb161d7c77c08",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-01-03T11:57:28Z",
    "title_canon_sha256": "9b449e7d6693ffd9dca2f886c318d1fb61b59c5e2177eeef469e66ccc7922d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301020",
    "kind": "arxiv",
    "version": 1
  }
}