Pith Number

pith:HP2C3WXM

pith:2026:HP2C3WXMNSGYUPDKBVH5ROLZ6N

not attested not anchored not stored refs pending

A module structure on odd Khovanov homology and the odd invariant for ribbon 2-knots

Jacob Migdail, Stephan Wehrli

arxiv:2607.04018 v1 · 2026-07-04 · 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{HP2C3WXMNSGYUPDKBVH5ROLZ6N}

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	2026-07-07T02:18:53.236468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf42ddaec6c8d8a3c6a0d4fd8b979f35ce41ed89359f5c78356b3278685a4f2

Aliases

arxiv: 2607.04018 · arxiv_version: 2607.04018v1 · doi: 10.48550/arxiv.2607.04018 · pith_short_12: HP2C3WXMNSGY · pith_short_16: HP2C3WXMNSGYUPDK · pith_short_8: HP2C3WXM

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/HP2C3WXMNSGYUPDKBVH5ROLZ6N \
  | 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: 3bf42ddaec6c8d8a3c6a0d4fd8b979f35ce41ed89359f5c78356b3278685a4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c8dd6caddba1101c0fbc06c33a8a6651a2f743d0ae3b346877a92a54b6c3f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-04T20:28:12Z",
    "title_canon_sha256": "16e8297f95df24416a0099f8c39a66e02d0834b7886fa2dd85e75b9e5fd11f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04018",
    "kind": "arxiv",
    "version": 1
  }
}