Pith Number

pith:IKQFAM4J

pith:2018:IKQFAM4JKWQY3F5LZ6YMATYHZT

not attested not anchored not stored refs pending

Spectral gaps and abelian covers of convex co-compact surfaces

Frederic Naud

arxiv:1803.03446 v2 · 2018-03-09 · 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{IKQFAM4JKWQY3F5LZ6YMATYHZT}

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	2026-05-18T00:21:33.932450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a050338955a18d97abcfb0c04f07ccc2d2c5da3c8c44abcd34e4cf27e018eb

Aliases

arxiv: 1803.03446 · arxiv_version: 1803.03446v2 · doi: 10.48550/arxiv.1803.03446 · pith_short_12: IKQFAM4JKWQY · pith_short_16: IKQFAM4JKWQY3F5L · pith_short_8: IKQFAM4J

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/IKQFAM4JKWQY3F5LZ6YMATYHZT \
  | 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: 42a050338955a18d97abcfb0c04f07ccc2d2c5da3c8c44abcd34e4cf27e018eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fb81b70e74c9716af7ab8ebdba4459599af81c7c138c581d8a66885768b6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-09T10:08:13Z",
    "title_canon_sha256": "e1da99e27b78050111cfb974b46686ebf81b690806f18178919c712013616f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03446",
    "kind": "arxiv",
    "version": 2
  }
}