Pith Number

pith:3NLZIPCD

pith:2021:3NLZIPCDZDCBY43W74TAYTYSBD

not attested not anchored not stored refs pending

The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion

Jan Frahm, L\'eo B\'enard, Polyxeni Spilioti

arxiv:2110.06683 v2 · 2021-10-13 · math.SP · math.DG · math.DS · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NLZIPCDZDCBY43W74TAYTYSBD}

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	2026-07-05T07:13:38.261015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db57943c43c8c41c7376ff260c4f1208f9f1a996ffa97c5fc06ec1870e3e751d

Aliases

arxiv: 2110.06683 · arxiv_version: 2110.06683v2 · doi: 10.48550/arxiv.2110.06683 · pith_short_12: 3NLZIPCDZDCB · pith_short_16: 3NLZIPCDZDCBY43W · pith_short_8: 3NLZIPCD

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/3NLZIPCDZDCBY43W74TAYTYSBD \
  | 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: db57943c43c8c41c7376ff260c4f1208f9f1a996ffa97c5fc06ec1870e3e751d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ba2a436ed776d200709f3aafcc1f3e2fc3078c6652e0ba60703d10bc16a186",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2021-10-13T12:42:47Z",
    "title_canon_sha256": "fa0cb9853506c4688518bbf584c674b51ddfaa5dfc0862cc7ecbbddc764b75fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06683",
    "kind": "arxiv",
    "version": 2
  }
}