Pith Number

pith:ZTZAQ5CW

pith:2013:ZTZAQ5CWHWHM22N34XML3COJ6P

not attested not anchored not stored refs pending

A Uniform Version of a Finiteness Conjecture for CM Elliptic Curves

Abbey Bourdon

arxiv:1305.5241 v1 · 2013-05-22 · 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{ZTZAQ5CWHWHM22N34XML3COJ6P}

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	2026-05-18T03:25:06.423908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf20874563d8ecd69bbe5d8bd89c9f3d4b161bcb94d1a02528d8e232ba734e6

Aliases

arxiv: 1305.5241 · arxiv_version: 1305.5241v1 · doi: 10.48550/arxiv.1305.5241 · pith_short_12: ZTZAQ5CWHWHM · pith_short_16: ZTZAQ5CWHWHM22N3 · pith_short_8: ZTZAQ5CW

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/ZTZAQ5CWHWHM22N34XML3COJ6P \
  | 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: ccf20874563d8ecd69bbe5d8bd89c9f3d4b161bcb94d1a02528d8e232ba734e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e229f2b6a93cd7ca7884b92615cfc32d1d91e28087362b4b331d8fbaa52b3c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-22T19:33:26Z",
    "title_canon_sha256": "40b83aabb7850432744044ebbec3c1386640a768a05f05c2a4146abf0bb776aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5241",
    "kind": "arxiv",
    "version": 1
  }
}