Pith Number

pith:UHMSRZCO

pith:2012:UHMSRZCOFW2PEPV4BRCA26TBWZ

not attested not anchored not stored refs pending

On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields

Dmitry Vaintrob, Eric Larson

arxiv:1204.0046 v1 · 2012-03-30 · 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{UHMSRZCOFW2PEPV4BRCA26TBWZ}

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	2026-05-18T00:15:59.827243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d928e44e2db4f23ebc0c440d7a61b673356c805b0cb90c773eb3685065211e

Aliases

arxiv: 1204.0046 · arxiv_version: 1204.0046v1 · doi: 10.48550/arxiv.1204.0046 · pith_short_12: UHMSRZCOFW2P · pith_short_16: UHMSRZCOFW2PEPV4 · pith_short_8: UHMSRZCO

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/UHMSRZCOFW2PEPV4BRCA26TBWZ \
  | 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: a1d928e44e2db4f23ebc0c440d7a61b673356c805b0cb90c773eb3685065211e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31441ed12bab772ca2c57eb2aaaffe4f909bf142e74cb166d50fe332906e47ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-30T23:28:16Z",
    "title_canon_sha256": "9f5dc66c196a54f6a50af2f903ade09fa4e6bd65de9981a5c5060742a1224f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0046",
    "kind": "arxiv",
    "version": 1
  }
}