Pith Number

pith:U5ZGSZQH

pith:2013:U5ZGSZQHTZFYHIFLS23GNP32BR

not attested not anchored not stored refs pending

Further Refinements of Miller Algorithm on Edwards curves

Chik How Tan, Duc-Phong Le

arxiv:1305.2694 v3 · 2013-05-13 · 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{U5ZGSZQHTZFYHIFLS23GNP32BR}

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	2026-05-18T02:45:56.000198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7726966079e4b83a0ab96b666bf7a0c7d1a6fcabbacae337caf31e00e6f4bc5

Aliases

arxiv: 1305.2694 · arxiv_version: 1305.2694v3 · doi: 10.48550/arxiv.1305.2694 · pith_short_12: U5ZGSZQHTZFY · pith_short_16: U5ZGSZQHTZFYHIFL · pith_short_8: U5ZGSZQH

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/U5ZGSZQHTZFYHIFLS23GNP32BR \
  | 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: a7726966079e4b83a0ab96b666bf7a0c7d1a6fcabbacae337caf31e00e6f4bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c251caddd109554552d51ee5475f88f8666c6664b0a5d21b4c7fad6b5f9381df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-05-13T07:27:46Z",
    "title_canon_sha256": "f91e55c0041c7370ab98e9cecd09be1f66a2a0ca148fbdcb335b268d2a985d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2694",
    "kind": "arxiv",
    "version": 3
  }
}