Pith Number

pith:5ZHABWCQ

pith:2016:5ZHABWCQDQTIW45LZIHNAGIQYJ

not attested not anchored not stored refs pending

Solving discrete logarithms on a 170-bit MNT curve by pairing reduction

Aurore Guillevic (PIMS), Emmanuel Thom\'e (CARAMBA), Fran\c{c}ois Morain (GRACE, LIX)

arxiv:1605.07746 v2 · 2016-05-25 · 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{5ZHABWCQDQTIW45LZIHNAGIQYJ}

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	2026-05-18T00:56:46.081369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4e00d8501c268b73abca0ed01910c25c5fd72a0f7c4cd4a3dcb201c5bb7c54

Aliases

arxiv: 1605.07746 · arxiv_version: 1605.07746v2 · doi: 10.48550/arxiv.1605.07746 · pith_short_12: 5ZHABWCQDQTI · pith_short_16: 5ZHABWCQDQTIW45L · pith_short_8: 5ZHABWCQ

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/5ZHABWCQDQTIW45LZIHNAGIQYJ \
  | 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: ee4e00d8501c268b73abca0ed01910c25c5fd72a0f7c4cd4a3dcb201c5bb7c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef29312d7aa42da7bd74c52323907e90c5c84d71b6a7afb4c38fe7ad458f382",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2016-05-25T06:42:19Z",
    "title_canon_sha256": "c712a39a3450d6f12e3f69ac955d7c915bfdc32f8d9859b00a45871907dd64e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07746",
    "kind": "arxiv",
    "version": 2
  }
}