Pith Number

pith:UPE47INV

pith:2013:UPE47INVPWHZ7JSZGTK5OKIIMS

not attested not anchored not stored refs pending

Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves

Amnon Besser, Jennifer S. Balakrishnan, J. Steffen M\"uller

arxiv:1302.2944 v3 · 2013-02-12 · 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{UPE47INVPWHZ7JSZGTK5OKIIMS}

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	2026-05-18T02:30:22.974679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c9cfa1b57d8f9fa65934d5d7290864883135fd30823a45671031680a23bd2a

Aliases

arxiv: 1302.2944 · arxiv_version: 1302.2944v3 · doi: 10.48550/arxiv.1302.2944 · pith_short_12: UPE47INVPWHZ · pith_short_16: UPE47INVPWHZ7JSZ · pith_short_8: UPE47INV

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/UPE47INVPWHZ7JSZGTK5OKIIMS \
  | 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: a3c9cfa1b57d8f9fa65934d5d7290864883135fd30823a45671031680a23bd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618a1605e4834bb8c355477eb04ec1aba74d9d64ee14884b76a2f343d418d3ed",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-12T22:57:25Z",
    "title_canon_sha256": "6ae1ffdb7bec57da521041dc613c167eafe106937ebff3a3b4c11066838a7591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2944",
    "kind": "arxiv",
    "version": 3
  }
}