Pith Number

pith:LFOPCNCK

pith:2004:LFOPCNCKGC7W5VYX4PUMPKOQ3L

not attested not anchored not stored refs pending

Knot theory in handlebodies

Reinhard Haering-Oldenburg, Sofia Lambropoulou

arxiv:math/0405502 v1 · 2004-05-26 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFOPCNCKGC7W5VYX4PUMPKOQ3L}

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

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

Receipt and verification

First computed	2026-07-04T14:38:39.404855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595cf1344a30bf6ed717e3e8c7a9d0dae6fb03da31ff653fbd9ba2ae3cc89466

Aliases

arxiv: math/0405502 · arxiv_version: math/0405502v1 · doi: 10.48550/arxiv.math/0405502 · pith_short_12: LFOPCNCKGC7W · pith_short_16: LFOPCNCKGC7W5VYX · pith_short_8: LFOPCNCK

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/LFOPCNCKGC7W5VYX4PUMPKOQ3L \
  | 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: 595cf1344a30bf6ed717e3e8c7a9d0dae6fb03da31ff653fbd9ba2ae3cc89466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca00e59f9a74d192989fe18c0b6c0e1950f5cf1874b80180aea97a33c059822",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-26T16:14:06Z",
    "title_canon_sha256": "9f46c0a00a51b754ce75ec90884130b0521f4e3816358fae0bfbb01e6026b119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405502",
    "kind": "arxiv",
    "version": 1
  }
}