Pith Number

pith:4UGP35P3

pith:2006:4UGP35P355TTCKPI4577ZRX2CV

not attested not anchored not stored refs pending

Fast algorithms for computing isogenies between elliptic curves

Alin Bostan (INRIA Rocquencourt), Bruno Salvy (INRIA Rocquencourt), Eric Schost (LIX), Francois Morain (LIX, INRIA Futurs)

arxiv:cs/0609020 v1 · 2006-09-06 · cs.CC · cs.SC · 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{4UGP35P355TTCKPI4577ZRX2CV}

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	2026-05-18T03:20:36.519250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50cfdf5fbef673129e8e77ffcc6fa1544c31a83aa9377e16e8dbc60defcbae0

Aliases

arxiv: cs/0609020 · arxiv_version: cs/0609020v1 · doi: 10.48550/arxiv.cs/0609020 · pith_short_12: 4UGP35P355TT · pith_short_16: 4UGP35P355TTCKPI · pith_short_8: 4UGP35P3

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/4UGP35P355TTCKPI4577ZRX2CV \
  | 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: e50cfdf5fbef673129e8e77ffcc6fa1544c31a83aa9377e16e8dbc60defcbae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14efcbe0a5e6d8fa552155e2b421f5a3d40eef8036c81c4158320754264abcd",
    "cross_cats_sorted": [
      "cs.SC",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2006-09-06T12:10:17Z",
    "title_canon_sha256": "be73941ccea22ce460dec4229e04243128939c95a648875209b6b0274e0097ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0609020",
    "kind": "arxiv",
    "version": 1
  }
}