Pith Number

pith:42EVGAB7

pith:2026:42EVGAB7ETBQ5YRVR34RS6N3CV

not attested not anchored not stored refs pending

Involutive Khovanov homology and equivariant knots II

Taketo Sano

arxiv:2608.07114 v1 · 2026-08-07 · 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{42EVGAB7ETBQ5YRVR34RS6N3CV}

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	2026-08-10T01:13:15.740837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68953003f24c30ee2358ef91979bb15556ab1584a6f40b04758cf6937ade28b

Aliases

arxiv: 2608.07114 · arxiv_version: 2608.07114v1 · doi: 10.48550/arxiv.2608.07114 · pith_short_12: 42EVGAB7ETBQ · pith_short_16: 42EVGAB7ETBQ5YRV · pith_short_8: 42EVGAB7

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/42EVGAB7ETBQ5YRVR34RS6N3CV \
  | 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: e68953003f24c30ee2358ef91979bb15556ab1584a6f40b04758cf6937ade28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba0a545d1242ca1ba7fcf444252353b23e45694b2bcab61a06cff98ea38da28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-07T11:14:25Z",
    "title_canon_sha256": "90e48efb70a2c2724d32f2db721268d2091cbdaa315aa568fd456fb4d0c710d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07114",
    "kind": "arxiv",
    "version": 1
  }
}