Pith Number

pith:T3DQ7RTJ

pith:2016:T3DQ7RTJXSGUWA33O652H5BPLW

not attested not anchored not stored refs pending

A reciprocity formula from abelian BF and Turaev-Viro theories

F. Thuillier, P. Mathieu

arxiv:1604.05761 v1 · 2016-04-19 · math-ph · 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{T3DQ7RTJXSGUWA33O652H5BPLW}

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	2026-05-18T00:54:36.853919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec70fc669bc8d4b037b77bba3f42f5d803543a07cff40747563ab03ed6ec51c

Aliases

arxiv: 1604.05761 · arxiv_version: 1604.05761v1 · doi: 10.48550/arxiv.1604.05761 · pith_short_12: T3DQ7RTJXSGU · pith_short_16: T3DQ7RTJXSGUWA33 · pith_short_8: T3DQ7RTJ

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/T3DQ7RTJXSGUWA33O652H5BPLW \
  | 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: 9ec70fc669bc8d4b037b77bba3f42f5d803543a07cff40747563ab03ed6ec51c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35008d143e26e3318263242681d2a9d4b0f8d67a4a495fa6a5a763852f6aa4ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-19T21:58:50Z",
    "title_canon_sha256": "d7c8aa816328a3e3bac33a632698c83f8ad4e60406d68352bffda6f10db721a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05761",
    "kind": "arxiv",
    "version": 1
  }
}