Pith Number

pith:3ZOLAM7G

pith:2004:3ZOLAM7GBKN4H6NTGSZM5Q7VCW

not attested not anchored not stored refs pending

On knot Floer homology and cabling

Matthew Hedden

arxiv:math/0406402 v2 · 2004-06-21 · 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{3ZOLAM7GBKN4H6NTGSZM5Q7VCW}

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	2026-05-18T02:41:32.398065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5cb033e60a9bc3f9b334b2cec3f515baa389df1cbbf4f3cc93a81669203213

Aliases

arxiv: math/0406402 · arxiv_version: math/0406402v2 · doi: 10.48550/arxiv.math/0406402 · pith_short_12: 3ZOLAM7GBKN4 · pith_short_16: 3ZOLAM7GBKN4H6NT · pith_short_8: 3ZOLAM7G

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/3ZOLAM7GBKN4H6NTGSZM5Q7VCW \
  | 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: de5cb033e60a9bc3f9b334b2cec3f515baa389df1cbbf4f3cc93a81669203213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefb15e543911ad8301d046a458323af58081c274e96b5adfa61a948ba2fbafd",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-06-21T13:52:20Z",
    "title_canon_sha256": "a0b015d650ec0327519dd72e1af0473c106d323fa6ffcacfb33695871a815c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406402",
    "kind": "arxiv",
    "version": 2
  }
}