Pith Number

pith:I2YCRCFH

pith:2015:I2YCRCFHWMEE225IKHJS7LN3NW

not attested not anchored not stored refs pending

Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes

Benjamin Smith (LIX, Craig Costello, GRACE), Ping Ngai Chung

arxiv:1510.03174 v2 · 2015-10-12 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2YCRCFHWMEE225IKHJS7LN3NW}

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	2026-05-18T01:29:31.183018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b02888a7b3084d6ba851d32fadbb6da52c08b45c98548ae6444fb898a3947f

Aliases

arxiv: 1510.03174 · arxiv_version: 1510.03174v2 · doi: 10.48550/arxiv.1510.03174 · pith_short_12: I2YCRCFHWMEE · pith_short_16: I2YCRCFHWMEE225I · pith_short_8: I2YCRCFH

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/I2YCRCFHWMEE225IKHJS7LN3NW \
  | 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: 46b02888a7b3084d6ba851d32fadbb6da52c08b45c98548ae6444fb898a3947f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697093be8a9a13f0a7218c61b9182b4a08c5eef27ea04d603fdef35656a3631c",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-12T08:04:12Z",
    "title_canon_sha256": "ab9ee5b4845d33482e8ee0c7c3ffdbb812d4ffe6f6cd64e3de6fa9c3102aa859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03174",
    "kind": "arxiv",
    "version": 2
  }
}