Pith Number

pith:GS4VBOTH

pith:2012:GS4VBOTHRV7VK4TB5ES3QRMRN4

not attested not anchored not stored refs pending

Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies

Allison Moore, Laura Starkston

arxiv:1204.2524 v4 · 2012-04-11 · 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{GS4VBOTHRV7VK4TB5ES3QRMRN4}

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	2026-05-18T02:03:38.621485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b950ba678d7f557261e925b845916f2413b9c1564d7a69ffc94db3a9bad3fe

Aliases

arxiv: 1204.2524 · arxiv_version: 1204.2524v4 · doi: 10.48550/arxiv.1204.2524 · pith_short_12: GS4VBOTHRV7V · pith_short_16: GS4VBOTHRV7VK4TB · pith_short_8: GS4VBOTH

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/GS4VBOTHRV7VK4TB5ES3QRMRN4 \
  | 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: 34b950ba678d7f557261e925b845916f2413b9c1564d7a69ffc94db3a9bad3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1894f94400571f90edb1665f4a604576b717562436f5a48b6ceb9c1e58a888ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-11T18:54:10Z",
    "title_canon_sha256": "22b1721730e7d42ab853d5862c8de3572aaa6bbdfbb8094e965a1e18bfd939f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2524",
    "kind": "arxiv",
    "version": 4
  }
}