Pith Number

pith:VOQNI6FW

pith:2013:VOQNI6FW7PWAI6TDJ5AVZFEGBG

not attested not anchored not stored refs pending

Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank

Michael Stoll

arxiv:1307.1773 v6 · 2013-07-06 · math.NT · 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{VOQNI6FW7PWAI6TDJ5AVZFEGBG}

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	2026-05-18T01:26:03.195030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba0d478b6fbec047a634f415c94860989fa02dce23e7e9d988368cfd3827a24

Aliases

arxiv: 1307.1773 · arxiv_version: 1307.1773v6 · doi: 10.48550/arxiv.1307.1773 · pith_short_12: VOQNI6FW7PWA · pith_short_16: VOQNI6FW7PWAI6TD · pith_short_8: VOQNI6FW

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/VOQNI6FW7PWAI6TDJ5AVZFEGBG \
  | 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: aba0d478b6fbec047a634f415c94860989fa02dce23e7e9d988368cfd3827a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3366070f33c39844cd6f3cb8dc0bcf870c64bb3ad932b00e9fa96d2be994fe98",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-06T12:33:02Z",
    "title_canon_sha256": "0ac091f721558036e298da2b113179c26ead97f68fa5a40d57da618b157c0227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1773",
    "kind": "arxiv",
    "version": 6
  }
}