Pith Number

pith:TF3GKM5E

pith:2012:TF3GKM5EHDBTYROPZAWLWR5YVC

not attested not anchored not stored refs pending

Equations on knot polynomials and 3d/5d duality

A. Mironov, A. Morozov

arxiv:1208.2282 v1 · 2012-08-10 · hep-th · 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{TF3GKM5EHDBTYROPZAWLWR5YVC}

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	2026-05-18T03:31:17.368617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99766533a438c33c45cfc82cbb47b8a897709cad431d513c627c8a23c6891b0c

Aliases

arxiv: 1208.2282 · arxiv_version: 1208.2282v1 · doi: 10.48550/arxiv.1208.2282 · pith_short_12: TF3GKM5EHDBT · pith_short_16: TF3GKM5EHDBTYROP · pith_short_8: TF3GKM5E

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/TF3GKM5EHDBTYROPZAWLWR5YVC \
  | 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: 99766533a438c33c45cfc82cbb47b8a897709cad431d513c627c8a23c6891b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4729f650a063e6735852fb59287a5f0b98dbe72868171aaa5788a4a5989d2eb",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-10T20:30:00Z",
    "title_canon_sha256": "f219e273d50d5fa4c5dad48b5cb4879efd683d7dcfac16b84172bbf256b35f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2282",
    "kind": "arxiv",
    "version": 1
  }
}