Pith Number

pith:DGCREV7Y

pith:2012:DGCREV7YHJIFWMDJSLWKYJPAJ7

not attested not anchored not stored refs pending

Crit\`ere d'irr\'eductibilit\'e pour les courbes elliptiques semi-stables sur un corps de nombres

Agn\`es David

arxiv:1202.1649 v1 · 2012-02-08 · 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{DGCREV7YHJIFWMDJSLWKYJPAJ7}

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	2026-05-18T04:02:51.665827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19851257f83a505b306992ecac25e04fe5e596a51a040d90d4862f59fc3639ac

Aliases

arxiv: 1202.1649 · arxiv_version: 1202.1649v1 · doi: 10.48550/arxiv.1202.1649 · pith_short_12: DGCREV7YHJIF · pith_short_16: DGCREV7YHJIFWMDJ · pith_short_8: DGCREV7Y

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/DGCREV7YHJIFWMDJSLWKYJPAJ7 \
  | 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: 19851257f83a505b306992ecac25e04fe5e596a51a040d90d4862f59fc3639ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d00b7f276cedb840549c05e2324721d206a2bf95421ba1ee34e4a430ec8c5c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-08T10:31:40Z",
    "title_canon_sha256": "2e8ba244354a447a89a142edfa511d0a148b8c3bdf66116733ee5c06cda81f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1649",
    "kind": "arxiv",
    "version": 1
  }
}