Pith Number

pith:RNHN3TG6

pith:2011:RNHN3TG6FQODO3SKF7X7RKHVMT

not attested not anchored not stored refs pending

Lower bounds on the class number of algebraic function fields defined over any finite field

Robert Rolland, St\'ephane Ballet

arxiv:1103.2161 v2 · 2011-03-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNHN3TG6FQODO3SKF7X7RKHVMT}

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	2026-05-18T04:24:34.954057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4eddccde2c1c376e4a2feff8a8f564e8437a35581effb15e6b3e443700dab5

Aliases

arxiv: 1103.2161 · arxiv_version: 1103.2161v2 · doi: 10.48550/arxiv.1103.2161 · pith_short_12: RNHN3TG6FQOD · pith_short_16: RNHN3TG6FQODO3SK · pith_short_8: RNHN3TG6

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/RNHN3TG6FQODO3SKF7X7RKHVMT \
  | 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: 8b4eddccde2c1c376e4a2feff8a8f564e8437a35581effb15e6b3e443700dab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97499d3af85fbdc7ada0b4830f2ba794317f08e7b8702f32e8c917408b2686e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-10T23:06:42Z",
    "title_canon_sha256": "e5a8f3bd1a3064157c3b7912a9f2441bb58e5e08bd7a95bf89598f05ea6eea0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2161",
    "kind": "arxiv",
    "version": 2
  }
}