Pith Number

pith:WW3NR26M

pith:2018:WW3NR26MEHHQSIASXVYTNFGWEZ

not attested not anchored not stored refs pending

Reductions of points on algebraic groups, II

Antonella Perucca, Peter Bruin

arxiv:1802.08527 v1 · 2018-02-23 · 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{WW3NR26MEHHQSIASXVYTNFGWEZ}

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	2026-07-05T02:54:09.420467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b6d8ebcc21cf092012bd713694d626493200d9c40c28279e282cbb8d154375

Aliases

arxiv: 1802.08527 · arxiv_version: 1802.08527v1 · doi: 10.48550/arxiv.1802.08527 · pith_short_12: WW3NR26MEHHQ · pith_short_16: WW3NR26MEHHQSIAS · pith_short_8: WW3NR26M

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/WW3NR26MEHHQSIASXVYTNFGWEZ \
  | 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: b5b6d8ebcc21cf092012bd713694d626493200d9c40c28279e282cbb8d154375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53ce2b0ee664f152d6133562976069cab0e8fbcea41c7ecb8c5bca2d4191ab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-23T13:50:13Z",
    "title_canon_sha256": "fd4312cbf0fc8e264bae64b5bc665c74277dbb293a198e4ab7e456fb6063481f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08527",
    "kind": "arxiv",
    "version": 1
  }
}