Pith Number

pith:QWZP6SZD

pith:2013:QWZP6SZDJCM5AYZ3PQCBEVWWZ2

not attested not anchored not stored refs pending

Lois de r\'eciprocit\'e sup\'erieures et points rationnels

Jean-Louis Colliot-Th\'el\`ene, Raman Parimala, Venapally Suresh

arxiv:1302.2377 v3 · 2013-02-10 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWZP6SZDJCM5AYZ3PQCBEVWWZ2}

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	2026-05-18T01:32:42.093927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b2ff4b234899d0633b7c041256d6ce8d48d24432f711dc1d141c824ad8f7c1

Aliases

arxiv: 1302.2377 · arxiv_version: 1302.2377v3 · doi: 10.48550/arxiv.1302.2377 · pith_short_12: QWZP6SZDJCM5 · pith_short_16: QWZP6SZDJCM5AYZ3 · pith_short_8: QWZP6SZD

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/QWZP6SZDJCM5AYZ3PQCBEVWWZ2 \
  | 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: 85b2ff4b234899d0633b7c041256d6ce8d48d24432f711dc1d141c824ad8f7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea2523b24e3b3a878465ad62b2a037ed4e79e19a1e087753137393aa23a8b829",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-10T23:07:21Z",
    "title_canon_sha256": "e496ef5d58d4b32bf1988a20af09f5852108464cf5998a7e54bcea4e6cb4b14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2377",
    "kind": "arxiv",
    "version": 3
  }
}