Pith Number

pith:SHIQR4YE

pith:2017:SHIQR4YEBMUZNHISLCXEW6ZTNY

not attested not anchored not stored refs pending

Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space

Dimitrios Chatzakos, Dmitry Frolenkov, Giacomo Cherubini, Niko Laaksonen, Olga Balkanova

arxiv:1712.00880 v2 · 2017-12-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHIQR4YEBMUZNHISLCXEW6ZTNY}

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	2026-05-18T00:07:50.313479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d108f3040b29969d1258ae4b7b336e1caf27add81e09e2f8d86488e9995ca1

Aliases

arxiv: 1712.00880 · arxiv_version: 1712.00880v2 · doi: 10.48550/arxiv.1712.00880 · pith_short_12: SHIQR4YEBMUZ · pith_short_16: SHIQR4YEBMUZNHIS · pith_short_8: SHIQR4YE

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/SHIQR4YEBMUZNHISLCXEW6ZTNY \
  | 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: 91d108f3040b29969d1258ae4b7b336e1caf27add81e09e2f8d86488e9995ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18995a96a0c65d3c7e4c82859e69133da61cd639032a8f83283dc6ff044fdcc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-04T02:28:13Z",
    "title_canon_sha256": "1bdc462a1f30eec24cceedac44d57ddad37519051b5d8e1dd48e2965852ce3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00880",
    "kind": "arxiv",
    "version": 2
  }
}