Pith Number

pith:CYVZXWVM

pith:2002:CYVZXWVM4CZJH5N7VPQFM5X3VY

not attested not anchored not stored refs pending

Floer homology of surgeries on two-bridge knots

Jacob Rasmussen

arxiv:math/0204056 v2 · 2002-04-04 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYVZXWVM4CZJH5N7VPQFM5X3VY}

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	2026-05-18T02:41:33.068506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162b9bdaace0b293f5bfabe05676fbae35acfe6f2a209fd1430a87c270010351

Aliases

arxiv: math/0204056 · arxiv_version: math/0204056v2 · doi: 10.48550/arxiv.math/0204056 · pith_short_12: CYVZXWVM4CZJ · pith_short_16: CYVZXWVM4CZJH5N7 · pith_short_8: CYVZXWVM

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/CYVZXWVM4CZJH5N7VPQFM5X3VY \
  | 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: 162b9bdaace0b293f5bfabe05676fbae35acfe6f2a209fd1430a87c270010351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245565caf6cd59ba593bc8a02151a934bfcc162cb90b52b08b0a125cdd9eb767",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-04-04T14:25:35Z",
    "title_canon_sha256": "22844a0c8db74342e3c17758471d9a9688f75375ce56e6cd7fc730575ca3f18c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204056",
    "kind": "arxiv",
    "version": 2
  }
}