Pith Number

pith:4HGKOOH6

pith:2007:4HGKOOH6FOTLFOD26PFILH4PQX

not attested not anchored not stored refs pending

On knot Floer width and Turaev genus

Adam Lowrance

arxiv:0709.0720 v1 · 2007-09-05 · 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{4HGKOOH6FOTLFOD26PFILH4PQX}

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	2026-05-18T01:22:31.190637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cca738fe2ba6b2b87af3ca859f8f85f5e3562c176b61db1be9a8aa2e292ea9

Aliases

arxiv: 0709.0720 · arxiv_version: 0709.0720v1 · doi: 10.48550/arxiv.0709.0720 · pith_short_12: 4HGKOOH6FOTL · pith_short_16: 4HGKOOH6FOTLFOD2 · pith_short_8: 4HGKOOH6

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/4HGKOOH6FOTLFOD26PFILH4PQX \
  | 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: e1cca738fe2ba6b2b87af3ca859f8f85f5e3562c176b61db1be9a8aa2e292ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7f9048611dc5d1f7cfd422efcfeb807c2738bebcb481aa00e40f441648cf18",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-09-05T18:04:33Z",
    "title_canon_sha256": "b6e22725c7bb6dba16715abf377a9cec6460c0217a1f951e8f5cfef6d3fd475f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0720",
    "kind": "arxiv",
    "version": 1
  }
}