Pith Number

pith:IXI3FBQ6

pith:2013:IXI3FBQ66HESKY42FNBGLNVNAP

not attested not anchored not stored refs pending

On the relation generation method of Joux for computing discrete logarithms

Anand Kumar Narayanan, Ming-Deh Huang

arxiv:1312.1674 v2 · 2013-12-05 · cs.CC · cs.CR · 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{IXI3FBQ66HESKY42FNBGLNVNAP}

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	2026-05-18T03:03:57.476357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d1b2861ef1c925639a2b4265b6ad03ff62d292bd0cf5ea8e499ffba8954b2f

Aliases

arxiv: 1312.1674 · arxiv_version: 1312.1674v2 · doi: 10.48550/arxiv.1312.1674 · pith_short_12: IXI3FBQ66HES · pith_short_16: IXI3FBQ66HESKY42 · pith_short_8: IXI3FBQ6

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/IXI3FBQ66HESKY42FNBGLNVNAP \
  | 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: 45d1b2861ef1c925639a2b4265b6ad03ff62d292bd0cf5ea8e499ffba8954b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee5b962ca2d6b6b21a201b2afcb167c74979585da663fc3b51b90a2118b6e79",
    "cross_cats_sorted": [
      "cs.CR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-12-05T20:31:28Z",
    "title_canon_sha256": "95d2a04672103c32f8bccf9a638eaae0f2327b32daa1f8d5769c4e1902b3e72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1674",
    "kind": "arxiv",
    "version": 2
  }
}