Pith Number

pith:FGGR4Z5O

pith:2013:FGGR4Z5OO2W3FLP5LUDK4SPPST

not attested not anchored not stored refs pending

A quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic

Antoine Joux (PRISM), Emmanuel Thom\'e (INRIA Nancy - Grand Est / LORIA), Pierrick Gaudry (INRIA Nancy - Grand Est / LORIA), Razvan Barbulescu (INRIA Nancy - Grand Est / LORIA)

arxiv:1306.4244 v2 · 2013-06-18 · 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{FGGR4Z5OO2W3FLP5LUDK4SPPST}

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	2026-05-18T03:06:13.212829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298d1e67ae76adb2adfd5d06ae49ef94dfb7b3167eb5169a9e97788691b268e0

Aliases

arxiv: 1306.4244 · arxiv_version: 1306.4244v2 · doi: 10.48550/arxiv.1306.4244 · pith_short_12: FGGR4Z5OO2W3 · pith_short_16: FGGR4Z5OO2W3FLP5 · pith_short_8: FGGR4Z5O

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/FGGR4Z5OO2W3FLP5LUDK4SPPST \
  | 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: 298d1e67ae76adb2adfd5d06ae49ef94dfb7b3167eb5169a9e97788691b268e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45e20bda0b2e082d8d0984489456b5ac0087030a0cf63ea16669285c06e6b25",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-06-18T15:28:56Z",
    "title_canon_sha256": "e4b2ae81a20861053e9dd97313817cc4696b8dbe2dcd9794b0e5931788ef2511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4244",
    "kind": "arxiv",
    "version": 2
  }
}