Pith Number

pith:VGY3DXWM

pith:2014:VGY3DXWMIRZKLTHGOPP2FGTMMW

not attested not anchored not stored refs pending

On the quaternion $\ell$-isogeny path problem

Christophe Petit, David Kohel, Jean-Pierre Tignol, Kristin Lauter

arxiv:1406.0981 v1 · 2014-06-04 · 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{VGY3DXWMIRZKLTHGOPP2FGTMMW}

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	2026-05-18T02:50:30.615014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b1b1decc4472a5cce673dfa29a6c658770b3dafa1d4b6678fc2a252067fd05

Aliases

arxiv: 1406.0981 · arxiv_version: 1406.0981v1 · doi: 10.48550/arxiv.1406.0981 · pith_short_12: VGY3DXWMIRZK · pith_short_16: VGY3DXWMIRZKLTHG · pith_short_8: VGY3DXWM

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/VGY3DXWMIRZKLTHGOPP2FGTMMW \
  | 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: a9b1b1decc4472a5cce673dfa29a6c658770b3dafa1d4b6678fc2a252067fd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4befcb563f8d9e12f5cbf1c049dd168ce440db1b5d78889c49a612ad387f0f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-04T09:04:23Z",
    "title_canon_sha256": "187053c9ebf4ee6f45c0c7d5957c8cfaf2c1a928f5d6372c7e36ac0c25badc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0981",
    "kind": "arxiv",
    "version": 1
  }
}