Pith Number

pith:6QU3AS4O

pith:2010:6QU3AS4OWLHVWNTERNU6OJMQPP

not attested not anchored not stored refs pending

The complex AGM, periods of elliptic curves over C and complex elliptic logarithms

John E. Cremona, Thotsaphon Thongjunthug

arxiv:1011.0914 v3 · 2010-11-03 · 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{6QU3AS4OWLHVWNTERNU6OJMQPP}

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	2026-05-18T01:29:13.689460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f429b04b8eb2cf5b36648b69e725907bc21a9490bb9f9ae6ea2524d3d1f54713

Aliases

arxiv: 1011.0914 · arxiv_version: 1011.0914v3 · doi: 10.48550/arxiv.1011.0914 · pith_short_12: 6QU3AS4OWLHV · pith_short_16: 6QU3AS4OWLHVWNTE · pith_short_8: 6QU3AS4O

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/6QU3AS4OWLHVWNTERNU6OJMQPP \
  | 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: f429b04b8eb2cf5b36648b69e725907bc21a9490bb9f9ae6ea2524d3d1f54713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8bb1499eda15db483df20fa666862cc0867497ea9d487d1cabebaf6879deee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-03T15:20:48Z",
    "title_canon_sha256": "9b86fc388077b7d6e8984fba519beaf49300d35b1bea5c682f1dfefb5e1574b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0914",
    "kind": "arxiv",
    "version": 3
  }
}