Pith Number

pith:JOY3TQAW

pith:2017:JOY3TQAWKLUQ3NKSWLY5H5OAXF

not attested not anchored not stored refs pending

The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives

H. Gopalakrishna Gadiyar, R. Padma

arxiv:1702.07107 v1 · 2017-02-23 · 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{JOY3TQAWKLUQ3NKSWLY5H5OAXF}

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	2026-05-18T00:50:08.297613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb1b9c01652e90db552b2f1d3f5c0b9706b4fa65fe2be7a5cc6a370c5df7d37

Aliases

arxiv: 1702.07107 · arxiv_version: 1702.07107v1 · doi: 10.48550/arxiv.1702.07107 · pith_short_12: JOY3TQAWKLUQ · pith_short_16: JOY3TQAWKLUQ3NKS · pith_short_8: JOY3TQAW

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/JOY3TQAWKLUQ3NKSWLY5H5OAXF \
  | 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: 4bb1b9c01652e90db552b2f1d3f5c0b9706b4fa65fe2be7a5cc6a370c5df7d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5295612df598ab452a432bdb9c1cd36c56e976a6c1317f9b1275758931cc5456",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-23T06:10:46Z",
    "title_canon_sha256": "da2b40635119af1975bc001a09b1c33625d4b5d1a0233bcbaf840fd28b2b92dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07107",
    "kind": "arxiv",
    "version": 1
  }
}