Pith Number

pith:6HMCILMI

pith:2024:6HMCILMIPJIZPMP47YLRZSKBRX

not attested not anchored not stored refs pending

Khovanov homology and refined bounds for Gordian distances

Claudius Zibrowius, Laura Marino, Lukas Lewark

arxiv:2409.05743 v1 · 2024-09-09 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HMCILMIPJIZPMP47YLRZSKBRX}

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.

Cited by

1 paper in Pith

Equivariant Unknotting Number and Involutive Khovanov Homology

Receipt and verification

First computed	2026-07-05T09:04:53.490111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d8242d887a5197b1fcfe171cc9418dc1b604cf3b4d849a3be79b1fb8e49cab

Aliases

arxiv: 2409.05743 · arxiv_version: 2409.05743v1 · doi: 10.48550/arxiv.2409.05743 · pith_short_12: 6HMCILMIPJIZ · pith_short_16: 6HMCILMIPJIZPMP4 · pith_short_8: 6HMCILMI

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/6HMCILMIPJIZPMP47YLRZSKBRX \
  | 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: f1d8242d887a5197b1fcfe171cc9418dc1b604cf3b4d849a3be79b1fb8e49cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7214d1d2e7fd624a912f716363fafbe7ca3700b541a5289ca8934ec5e7731a0",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-09T15:57:29Z",
    "title_canon_sha256": "141cdab260642202466a11280bdd3d56c5cb8fa5518b2c6c44f26438bdfa9b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05743",
    "kind": "arxiv",
    "version": 1
  }
}