Pith Number

pith:7XQS7XG5

pith:2025:7XQS7XG5NNZCUW6NT7AODPNRWG

not attested not anchored not stored refs pending

Khovanov homology and equivariant surfaces

Abhishek Mallick, Irving Dai, Maciej Borodzik, Matthew Stoffregen

arxiv:2507.13642 v1 · 2025-07-18 · 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{7XQS7XG5NNZCUW6NT7AODPNRWG}

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

5 papers in Pith

Real link Floer homology

Reidemeister and movie moves for involutive links

Real link Floer homology

Equivariant Unknotting Number and Involutive Khovanov Homology

Receipt and verification

First computed	2026-07-05T11:39:20.537802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde12fdcdd6b722a5bcd9fc0e1bdb1b1b4ec2f9041202736db3c2c83d8b5f883

Aliases

arxiv: 2507.13642 · arxiv_version: 2507.13642v1 · doi: 10.48550/arxiv.2507.13642 · pith_short_12: 7XQS7XG5NNZC · pith_short_16: 7XQS7XG5NNZCUW6N · pith_short_8: 7XQS7XG5

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/7XQS7XG5NNZCUW6NT7AODPNRWG \
  | 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: fde12fdcdd6b722a5bcd9fc0e1bdb1b1b4ec2f9041202736db3c2c83d8b5f883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166d8db8c15b9e977d036fc73ab5d5bb6af9cd832cdef2f2231f9fa3773105e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-18T04:01:10Z",
    "title_canon_sha256": "9f9f0755818b1a21e0ca7fc1e453a67dd2327d8315a04cbf6fc6be13bed006a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13642",
    "kind": "arxiv",
    "version": 1
  }
}