Pith Number

pith:U6XBMGVW

pith:2025:U6XBMGVWTWWGEBQW32BCIQBDAC

not attested not anchored not stored refs pending

A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the $4$-ball

Aninda Banerjee, Apratim Chakraborty, Swarup Kumar Das

arxiv:2504.02625 v1 · 2025-04-03 · math.GT · math.CO · 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{U6XBMGVWTWWGEBQW32BCIQBDAC}

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

Morse matchings and Khovanov homology of 4-strand torus links

Receipt and verification

First computed	2026-07-05T10:44:00.040257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ae161ab69dac620616de822440230084e78d29fe9716a0f2c0a45600043c08

Aliases

arxiv: 2504.02625 · arxiv_version: 2504.02625v1 · doi: 10.48550/arxiv.2504.02625 · pith_short_12: U6XBMGVWTWWG · pith_short_16: U6XBMGVWTWWGEBQW · pith_short_8: U6XBMGVW

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/U6XBMGVWTWWGEBQW32BCIQBDAC \
  | 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: a7ae161ab69dac620616de822440230084e78d29fe9716a0f2c0a45600043c08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01103b622613b1e62a848368b3b7185d4ef5a881652ef60720c8ba04c9d56680",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-03T14:23:50Z",
    "title_canon_sha256": "7e375f8966311439fa8a04220efedd6a649fe9ad98f57b05fb7c4d08586f8f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.02625",
    "kind": "arxiv",
    "version": 1
  }
}