Pith Number

pith:5IZ2V3BS

pith:2026:5IZ2V3BSIMWEJ4ASQOJ6ZCMWFR

not attested not anchored not stored refs pending

Insensitivity of Khovanov homology under rim surgery

Fang-Rong Zhan, Qiuyu Ren

arxiv:2607.25302 v1 · 2026-07-28 · 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{5IZ2V3BSIMWEJ4ASQOJ6ZCMWFR}

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	2026-07-29T01:25:07.918918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea33aaec32432c44f0128393ec89962c53c3296fe87b86e5a80ba5d6d6c8b04a

Aliases

arxiv: 2607.25302 · arxiv_version: 2607.25302v1 · doi: 10.48550/arxiv.2607.25302 · pith_short_12: 5IZ2V3BSIMWE · pith_short_16: 5IZ2V3BSIMWEJ4AS · pith_short_8: 5IZ2V3BS

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/5IZ2V3BSIMWEJ4ASQOJ6ZCMWFR \
  | 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: ea33aaec32432c44f0128393ec89962c53c3296fe87b86e5a80ba5d6d6c8b04a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44917c438fa366844b733c9e29711c14d09599f9371cf80306aefd45d06de298",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-28T05:27:43Z",
    "title_canon_sha256": "f187bf32e3c717b842e0cbefbf199ab62e72b5a7f240ae84f4920ed1d83ebad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25302",
    "kind": "arxiv",
    "version": 1
  }
}