Pith Number

pith:4BT2X2YI

pith:2014:4BT2X2YI4GAAQ47SUWZZZWQXKF

not attested not anchored not stored refs pending

On Serre's uniformity conjecture for semistable elliptic curves over totally real fields

Samir Siksek, Samuele Anni

arxiv:1408.1279 v3 · 2014-08-06 · 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{4BT2X2YI4GAAQ47SUWZZZWQXKF}

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	2026-05-18T01:17:26.023279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e067abeb08e1800873f2a5b39cda1751472e38706cc496e2f7fed96e657640eb

Aliases

arxiv: 1408.1279 · arxiv_version: 1408.1279v3 · doi: 10.48550/arxiv.1408.1279 · pith_short_12: 4BT2X2YI4GAA · pith_short_16: 4BT2X2YI4GAAQ47S · pith_short_8: 4BT2X2YI

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/4BT2X2YI4GAAQ47SUWZZZWQXKF \
  | 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: e067abeb08e1800873f2a5b39cda1751472e38706cc496e2f7fed96e657640eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "136389fda5f5ac0f521f9dfb27543bab72fffbe2d2da1ddca10b90b770295c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-06T13:51:22Z",
    "title_canon_sha256": "8ad65b3c2d453c1744edd64312b58090346512e3c83656fe9cf3f10932e58d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1279",
    "kind": "arxiv",
    "version": 3
  }
}