Pith Number

pith:ELXN5TRW

pith:2012:ELXN5TRWYERDU5CZF3RFBOCZZX

not attested not anchored not stored refs pending

Approximate computations with modular curves

Bas Edixhoven, Jean-Marc Couveignes

arxiv:1205.5896 v1 · 2012-05-26 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELXN5TRWYERDU5CZF3RFBOCZZX}

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	2026-05-18T03:54:49.698080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22eedece36c1223a74592ee250b859cdfa58d5695d922e7e35e22fcaec450317

Aliases

arxiv: 1205.5896 · arxiv_version: 1205.5896v1 · doi: 10.48550/arxiv.1205.5896 · pith_short_12: ELXN5TRWYERD · pith_short_16: ELXN5TRWYERDU5CZ · pith_short_8: ELXN5TRW

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/ELXN5TRWYERDU5CZF3RFBOCZZX \
  | 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: 22eedece36c1223a74592ee250b859cdfa58d5695d922e7e35e22fcaec450317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd3122943f02cdc8148c0d9a60c9af85c493c30ae1c887487081fde1a63f1bc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-26T16:48:36Z",
    "title_canon_sha256": "a528ab80c216211cd829687b86260d95ff0a939c55437b76a90ad2c3fcf40ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5896",
    "kind": "arxiv",
    "version": 1
  }
}