Pith Number

pith:T3QU5JQE

pith:2016:T3QU5JQEGFNIL2J3UZLUKYIYLU

not attested not anchored not stored refs pending

Quadratic Chabauty and rational points I: p-adic heights

Jennifer S. Balakrishnan, Netan Dogra

arxiv:1601.00388 v2 · 2016-01-04 · 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{T3QU5JQEGFNIL2J3UZLUKYIYLU}

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	2026-05-18T00:01:00.995718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee14ea604315a85e93ba6574561185d095d9f2ee6886e892741d8621b9ddad8

Aliases

arxiv: 1601.00388 · arxiv_version: 1601.00388v2 · doi: 10.48550/arxiv.1601.00388 · pith_short_12: T3QU5JQEGFNI · pith_short_16: T3QU5JQEGFNIL2J3 · pith_short_8: T3QU5JQE

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/T3QU5JQEGFNIL2J3UZLUKYIYLU \
  | 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: 9ee14ea604315a85e93ba6574561185d095d9f2ee6886e892741d8621b9ddad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a50b37dc3f1520da494f74269dd46d5f17005e01eea4353c2391c0514e0dc3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-04T06:11:37Z",
    "title_canon_sha256": "37c238ea8a1a3c741f44cf8c633e76ddeb885c9defd43a6876a6cfe367f52a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00388",
    "kind": "arxiv",
    "version": 2
  }
}