Pith Number

pith:FUAGLJSF

pith:2010:FUAGLJSF5YL4HBT6WPYRAG4CFE

not attested not anchored not stored refs pending

Points rationnels sur les quotients d'Atkin-Lehner de courbes de Shimura de discriminant $pq$

Florence Gillibert

arxiv:1012.3414 v1 · 2010-12-15 · 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{FUAGLJSF5YL4HBT6WPYRAG4CFE}

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	2026-05-18T04:33:16.896038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d0065a645ee17c3867eb3f1101b82290fd801094398156afc832212e6691ddb

Aliases

arxiv: 1012.3414 · arxiv_version: 1012.3414v1 · doi: 10.48550/arxiv.1012.3414 · pith_short_12: FUAGLJSF5YL4 · pith_short_16: FUAGLJSF5YL4HBT6 · pith_short_8: FUAGLJSF

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/FUAGLJSF5YL4HBT6WPYRAG4CFE \
  | 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: 2d0065a645ee17c3867eb3f1101b82290fd801094398156afc832212e6691ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915495530704cbf30af8ad25ccd4bbba8dc4f4a1db60cf63f9f1728ee0fbe92c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-15T18:22:01Z",
    "title_canon_sha256": "e711baf34dec9ff1305c7fea7423258645d97a4c7fb5df22953d01f1c76ac742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3414",
    "kind": "arxiv",
    "version": 1
  }
}