Pith Number

pith:VR52H6S4

pith:2022:VR52H6S4CASHNMFAZ6MEV3KIPJ

not attested not anchored not stored refs pending

Categorical lifting of the Jones polynomial: a survey

Mikhail Khovanov, Robert Lipshitz

arxiv:2202.02473 v2 · 2022-02-05 · 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{VR52H6S4CASHNMFAZ6MEV3KIPJ}

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

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

Receipt and verification

First computed	2026-07-05T11:31:36.436796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7ba3fa5c102476b0a0cf984aed487a69626350899fad7702045d6437e425c5

Aliases

arxiv: 2202.02473 · arxiv_version: 2202.02473v2 · doi: 10.48550/arxiv.2202.02473 · pith_short_12: VR52H6S4CASH · pith_short_16: VR52H6S4CASHNMFA · pith_short_8: VR52H6S4

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/VR52H6S4CASHNMFAZ6MEV3KIPJ \
  | 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: ac7ba3fa5c102476b0a0cf984aed487a69626350899fad7702045d6437e425c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b92798c4b93d4f5a9bcdc11ee1ecc2b082f90936c08825ac3712090f15e1c4",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-02-05T03:05:39Z",
    "title_canon_sha256": "b2aa5ae809b6ca375a0039fc1e618ea482e0d6389a9b9d03ba083d946fb36df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02473",
    "kind": "arxiv",
    "version": 2
  }
}