Pith Number

pith:WATQESMA

pith:2001:WATQESMAWMNRC764XJ5H2ZZ6OL

not attested not anchored not stored refs pending

Arithm\'etique des courbes elliptiques a r\'eduction supersinguliere en p

Bernadette Perrin-Riou

arxiv:math/0109227 v1 · 2001-09-05 · 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{WATQESMAWMNRC764XJ5H2ZZ6OL}

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	2026-05-18T01:05:37.543540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b027024980b31b117fdcba7a7d673e72d71baa25629fc704506c4f62e5cc9fc6

Aliases

arxiv: math/0109227 · arxiv_version: math/0109227v1 · doi: 10.48550/arxiv.math/0109227 · pith_short_12: WATQESMAWMNR · pith_short_16: WATQESMAWMNRC764 · pith_short_8: WATQESMA

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/WATQESMAWMNRC764XJ5H2ZZ6OL \
  | 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: b027024980b31b117fdcba7a7d673e72d71baa25629fc704506c4f62e5cc9fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddca7c6805f4bedb885b9f211e2b664d584fe66089e03792816667e79abd455",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-09-05T00:00:00Z",
    "title_canon_sha256": "0e7aa884a75008b7689e4aea7dd719787cbb57302dd06394909ccd2e4a232e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109227",
    "kind": "arxiv",
    "version": 1
  }
}