Pith Number

pith:ILVS5B5J

pith:2012:ILVS5B5J7W7F44OZF722VGJSUD

not attested not anchored not stored refs pending

Surjectivity of Galois representations associated with quadratic Q-curves

Samuel Le Fourn

arxiv:1212.4713 v2 · 2012-12-19 · 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{ILVS5B5J7W7F44OZF722VGJSUD}

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	2026-05-18T01:24:11.488027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42eb2e87a9fdbe5e71d92ff5aa9932a0ec833c97b22131d3da17d1be21713b45

Aliases

arxiv: 1212.4713 · arxiv_version: 1212.4713v2 · doi: 10.48550/arxiv.1212.4713 · pith_short_12: ILVS5B5J7W7F · pith_short_16: ILVS5B5J7W7F44OZ · pith_short_8: ILVS5B5J

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/ILVS5B5J7W7F44OZF722VGJSUD \
  | 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: 42eb2e87a9fdbe5e71d92ff5aa9932a0ec833c97b22131d3da17d1be21713b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2c4a918e8ab1f5f3222e93f3e1ad8ffd7a0e60658c3270166111e916965460",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-19T15:49:26Z",
    "title_canon_sha256": "767df7a0372b47697720575b231cc3fab68baa25a912d6a9c3f9fea004a11709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4713",
    "kind": "arxiv",
    "version": 2
  }
}