Pith Number

pith:U7DYUYP4

pith:2012:U7DYUYP4NS7RHAJEMAAU5IXB2S

not attested not anchored not stored refs pending

Analytic families of quantum hyperbolic invariants

Riccardo Benedetti, Stephane Baseilhac

arxiv:1212.4261 v3 · 2012-12-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7DYUYP4NS7RHAJEMAAU5IXB2S}

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	2026-05-18T01:31:46.880618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c78a61fc6cbf13812460014ea2e1d4b521f80b13a78074858aacb5140d6dd9

Aliases

arxiv: 1212.4261 · arxiv_version: 1212.4261v3 · doi: 10.48550/arxiv.1212.4261 · pith_short_12: U7DYUYP4NS7R · pith_short_16: U7DYUYP4NS7RHAJE · pith_short_8: U7DYUYP4

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/U7DYUYP4NS7RHAJEMAAU5IXB2S \
  | 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: a7c78a61fc6cbf13812460014ea2e1d4b521f80b13a78074858aacb5140d6dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce85b08c1e28a70ad80381fa4e34756687b79e8bf6d485d386a96646db2d535",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-18T08:23:39Z",
    "title_canon_sha256": "9cf43c235b3edb0cfa0d878e241b51c80b56d048f4be276d0825a77b09dabc52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4261",
    "kind": "arxiv",
    "version": 3
  }
}