Pith Number

pith:PBHO5R7E

pith:2013:PBHO5R7EMP2F3ZOBCTZ72J4GIE

not attested not anchored not stored refs pending

On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields

Alexis Bonnecaze, Mila Tukumuli, St\'ephane Ballet

arxiv:1303.7082 v1 · 2013-03-28 · 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{PBHO5R7EMP2F3ZOBCTZ72J4GIE}

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	2026-05-18T03:29:38.279676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784eeec7e463f45de5c114f3fd2786411655d83ce394d450ded7fabff13a93c4

Aliases

arxiv: 1303.7082 · arxiv_version: 1303.7082v1 · doi: 10.48550/arxiv.1303.7082 · pith_short_12: PBHO5R7EMP2F · pith_short_16: PBHO5R7EMP2F3ZOB · pith_short_8: PBHO5R7E

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/PBHO5R7EMP2F3ZOBCTZ72J4GIE \
  | 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: 784eeec7e463f45de5c114f3fd2786411655d83ce394d450ded7fabff13a93c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85a70e13ba7c3e8bec07c83dded0d62da983bcbb3773485aff10fbb7e1e1c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-28T10:24:30Z",
    "title_canon_sha256": "ffccb6c958565340ed46eb6f433ea5d0b35a1710e0875ffd26b6ab8d9dacdf3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7082",
    "kind": "arxiv",
    "version": 1
  }
}