Pith Number

pith:VLGWXSGD

pith:2003:VLGWXSGD6WEY2ODQL4Z4AART6C

not attested not anchored not stored refs pending

On spaces of connected graphs II: Relations in the algebra Lambda

Jan Kneissler

arxiv:math/0301019 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{VLGWXSGD6WEY2ODQL4Z4AART6C}

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

Diagrammatic technique for Vogel's universality

Receipt and verification

First computed	2026-07-04T14:36:52.624610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacd6bc8c3f5898d38705f33c00233f0a08523d666885aa4f543176c452be19b

Aliases

arxiv: math/0301019 · arxiv_version: math/0301019v1 · doi: 10.48550/arxiv.math/0301019 · pith_short_12: VLGWXSGD6WEY · pith_short_16: VLGWXSGD6WEY2ODQ · pith_short_8: VLGWXSGD

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/VLGWXSGD6WEY2ODQL4Z4AART6C \
  | 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: aacd6bc8c3f5898d38705f33c00233f0a08523d666885aa4f543176c452be19b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588a76348eeef7d96008d21e9896eff8ed767d711dc321f7eb3afb9c45696d62",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-01-03T10:38:34Z",
    "title_canon_sha256": "d5ac0bc343d229ac6d435764fea8bfc9bb46f834cb900e11af0654bc28ec221f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301019",
    "kind": "arxiv",
    "version": 1
  }
}