Pith Number

pith:Z4KKO744

pith:2012:Z4KKO744ABIEGHTKTIEVJ2DVTS

not attested not anchored not stored refs pending

Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

A. Morozov, V. Dolotin

arxiv:1208.4994 v1 · 2012-08-24 · hep-th · math-ph · 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{Z4KKO744ABIEGHTKTIEVJ2DVTS}

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

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-05-18T01:54:58.595396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf14a77f9c0050431e6a9a0954e8759cbcab2cd818114a769843958937ca9198

Aliases

arxiv: 1208.4994 · arxiv_version: 1208.4994v1 · doi: 10.48550/arxiv.1208.4994 · pith_short_12: Z4KKO744ABIE · pith_short_16: Z4KKO744ABIEGHTK · pith_short_8: Z4KKO744

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/Z4KKO744ABIEGHTKTIEVJ2DVTS \
  | 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: cf14a77f9c0050431e6a9a0954e8759cbcab2cd818114a769843958937ca9198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c562bf833af63b27900c8245d934b07c8ec137da54804896eda0126226dbad3",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-24T14:58:24Z",
    "title_canon_sha256": "630c130829cea612a9a50b64b286177feee500f77c3cecd7b57671427c7d3871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4994",
    "kind": "arxiv",
    "version": 1
  }
}