Pith Number

pith:KBFRRXNM

pith:2012:KBFRRXNMNIJEWW57MVZMNK27JI

not attested not anchored not stored refs pending

Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials

A. Morozov, V. Dolotin

arxiv:1209.5109 v1 · 2012-09-23 · math-ph · hep-th · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBFRRXNMNIJEWW57MVZMNK27JI}

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	2026-05-18T03:25:26.104572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504b18ddac6a124b5bbf6572c6ab5f4a09f14e29d62902321a5e186936f67bab

Aliases

arxiv: 1209.5109 · arxiv_version: 1209.5109v1 · doi: 10.48550/arxiv.1209.5109 · pith_short_12: KBFRRXNMNIJE · pith_short_16: KBFRRXNMNIJEWW57 · pith_short_8: KBFRRXNM

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/KBFRRXNMNIJEWW57MVZMNK27JI \
  | 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: 504b18ddac6a124b5bbf6572c6ab5f4a09f14e29d62902321a5e186936f67bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac0878fe7cda8f1944000e7b58b439b82013d16e1595e0ec76837589fe6c228",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-23T20:47:18Z",
    "title_canon_sha256": "03ec334271bfd3c780d1daa706a767f7f4ee4fb1f7555dbc31cc8e11d7db20f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5109",
    "kind": "arxiv",
    "version": 1
  }
}