Pith Number

pith:2BSOA6G7

pith:2013:2BSOA6G7RRYKDOTPNIVZUB6UYS

not attested not anchored not stored refs pending

Lower bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers

Robert Rolland, Seher Tutdere, St\'ephane Ballet

arxiv:1303.5822 v1 · 2013-03-23 · 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{2BSOA6G7RRYKDOTPNIVZUB6UYS}

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	2026-05-18T03:30:01.180953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d064e078df8c70a1ba6f6a2b9a07d4c4b829ccf710b64ea40d31b90531d8e395

Aliases

arxiv: 1303.5822 · arxiv_version: 1303.5822v1 · doi: 10.48550/arxiv.1303.5822 · pith_short_12: 2BSOA6G7RRYK · pith_short_16: 2BSOA6G7RRYKDOTP · pith_short_8: 2BSOA6G7

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/2BSOA6G7RRYKDOTPNIVZUB6UYS \
  | 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: d064e078df8c70a1ba6f6a2b9a07d4c4b829ccf710b64ea40d31b90531d8e395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8f160ca8f350c6effe22e7e75a1009c2afcd76ebc09ec8bac4d18f1adc10ff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-23T06:29:56Z",
    "title_canon_sha256": "f99d83c5e5db07c4537fbb2d50246b1f9c8c1849e6132cab45008cf153648164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5822",
    "kind": "arxiv",
    "version": 1
  }
}