Pith Number

pith:I7GJYHRL

pith:2017:I7GJYHRLDFLB5PPBRKLMKPEK4W

not attested not anchored not stored refs pending

Large covers and sharp resonances of hyperbolic surfaces

Dmitry Jakobson, Frederic Naud, Louis Soares

arxiv:1710.05666 v2 · 2017-10-16 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7GJYHRLDFLB5PPBRKLMKPEK4W}

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	2026-05-18T00:30:21.859036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cc9c1e2b19561ebde18a96c53c8ae5828a1a7078107b49fa76a5fb25055708

Aliases

arxiv: 1710.05666 · arxiv_version: 1710.05666v2 · doi: 10.48550/arxiv.1710.05666 · pith_short_12: I7GJYHRLDFLB · pith_short_16: I7GJYHRLDFLB5PPB · pith_short_8: I7GJYHRL

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/I7GJYHRLDFLB5PPBRKLMKPEK4W \
  | 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: 47cc9c1e2b19561ebde18a96c53c8ae5828a1a7078107b49fa76a5fb25055708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7946780dcd30bde5ad6abf809c3bd3fb6c0ea44ccdc0e00357abec0a9c89ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-16T12:56:15Z",
    "title_canon_sha256": "779a2965fb559ceb93c934aa7ec4af7082adc2ef52f5bd90cbab1c6947eb31cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05666",
    "kind": "arxiv",
    "version": 2
  }
}