Pith Number

pith:N7DHRPPQ

pith:2009:N7DHRPPQBZTB3XCMHG2MNKNALA

not attested not anchored not stored refs pending

Cables of thin knots and bordered Heegaard Floer homology

Ina Petkova

arxiv:0911.2679 v3 · 2009-11-13 · 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{N7DHRPPQBZTB3XCMHG2MNKNALA}

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	2026-05-18T02:39:55.913361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc678bdf00e661ddc4c39b4c6a9a058147f78b55f3012307c45be2131a4b8a1

Aliases

arxiv: 0911.2679 · arxiv_version: 0911.2679v3 · doi: 10.48550/arxiv.0911.2679 · pith_short_12: N7DHRPPQBZTB · pith_short_16: N7DHRPPQBZTB3XCM · pith_short_8: N7DHRPPQ

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/N7DHRPPQBZTB3XCMHG2MNKNALA \
  | 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: 6fc678bdf00e661ddc4c39b4c6a9a058147f78b55f3012307c45be2131a4b8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f909e7322e5b57685ef80cced54a3f34cd5f2d466cd6e2b0fdd7b49a5f26ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-13T19:31:03Z",
    "title_canon_sha256": "4ea75d84f82375f8567bc2d8dbbf52b10ae5bca3d5318ab255b0ad78ef96dbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2679",
    "kind": "arxiv",
    "version": 3
  }
}