Pith Number

pith:XKG3TW2D

pith:2012:XKG3TW2D23IJEZ6BU6DFK4MA2S

not attested not anchored not stored refs pending

An L(1/3) algorithm for discrete logarithm computation and principality testing in certain number fields

Jean-Fran\c{c}ois Biasse

arxiv:1204.1292 v1 · 2012-04-05 · math.NT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKG3TW2D23IJEZ6BU6DFK4MA2S}

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	2026-05-18T03:58:27.000893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8db9db43d6d09267c1a786557180d482208859571bbd36790f29e3a2a7160d

Aliases

arxiv: 1204.1292 · arxiv_version: 1204.1292v1 · doi: 10.48550/arxiv.1204.1292 · pith_short_12: XKG3TW2D23IJ · pith_short_16: XKG3TW2D23IJEZ6B · pith_short_8: XKG3TW2D

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/XKG3TW2D23IJEZ6BU6DFK4MA2S \
  | 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: ba8db9db43d6d09267c1a786557180d482208859571bbd36790f29e3a2a7160d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeba229ffc9b61cc03316d63218166619c47b110de9b160a3e9e62ab9634c9f7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-05T18:04:39Z",
    "title_canon_sha256": "32a58fc74cadd42f47d9eba41dde417ce832070eb3aa0a2ab85436ec28c45722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1292",
    "kind": "arxiv",
    "version": 1
  }
}