Pith Number

pith:5DKYW3TQ

pith:2003:5DKYW3TQE76S4277UYT2F2OHEF

not attested not anchored not stored refs pending

Knot Floer homology and the four-ball genus

Peter Ozsvath, Zoltan Szabo

arxiv:math/0301149 v4 · 2003-01-14 · 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{5DKYW3TQE76S4277UYT2F2OHEF}

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	2026-05-18T02:38:00.447019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d58b6e7027fd2e6bffa627a2e9c7216f0b42471d15f74c917c2c7a7543f35d

Aliases

arxiv: math/0301149 · arxiv_version: math/0301149v4 · doi: 10.48550/arxiv.math/0301149 · pith_short_12: 5DKYW3TQE76S · pith_short_16: 5DKYW3TQE76S4277 · pith_short_8: 5DKYW3TQ

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/5DKYW3TQE76S4277UYT2F2OHEF \
  | 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: e8d58b6e7027fd2e6bffa627a2e9c7216f0b42471d15f74c917c2c7a7543f35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5fff0dc356b2b4859d00b619ad8e479ceaed5fb8daf0a32c9666b1b24dfee7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-01-14T21:20:03Z",
    "title_canon_sha256": "8767e8978b7e028613c88993df5f06e1ba1d0cc653c650faf653fb174802216e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301149",
    "kind": "arxiv",
    "version": 4
  }
}