Pith Number

pith:5Z54YYBT

pith:2011:5Z54YYBT2NC6RBZX5WGMAOGWRG

not attested not anchored not stored refs pending

Radical characterizations of elliptic curves

Antonella Perucca, Chris Hall

arxiv:1109.2440 v1 · 2011-09-12 · 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{5Z54YYBT2NC6RBZX5WGMAOGWRG}

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	2026-05-18T04:13:37.658781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7bcc6033d345e88737ed8cc038d6898df47b348a026b4e109f67b308d354f9

Aliases

arxiv: 1109.2440 · arxiv_version: 1109.2440v1 · doi: 10.48550/arxiv.1109.2440 · pith_short_12: 5Z54YYBT2NC6 · pith_short_16: 5Z54YYBT2NC6RBZX · pith_short_8: 5Z54YYBT

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/5Z54YYBT2NC6RBZX5WGMAOGWRG \
  | 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: ee7bcc6033d345e88737ed8cc038d6898df47b348a026b4e109f67b308d354f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338c0dcf28b4eab4964db456c869ce8d755c12036a4cbbda7471d75462373412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-12T12:21:56Z",
    "title_canon_sha256": "5a68c27e3dae43196d79646e26f4406da82cb87f6d1bcb8ceaa70400033e7c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2440",
    "kind": "arxiv",
    "version": 1
  }
}