Pith Number

pith:VQHGVP3V

pith:2018:VQHGVP3VE6GAMXIER5PEGHXWQO

not attested not anchored not stored refs pending

On cycles of pairing-friendly elliptic curves

Alessandro Chiesa, Lynn Chua, Matthew Weidner

arxiv:1803.02067 v3 · 2018-03-06 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQHGVP3VE6GAMXIER5PEGHXWQO}

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	2026-05-18T00:01:43.598380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0e6abf75278c065d048f5e431ef6838449c3a797cdb179f171f0edf480e99c

Aliases

arxiv: 1803.02067 · arxiv_version: 1803.02067v3 · doi: 10.48550/arxiv.1803.02067 · pith_short_12: VQHGVP3VE6GA · pith_short_16: VQHGVP3VE6GAMXIE · pith_short_8: VQHGVP3V

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/VQHGVP3VE6GAMXIER5PEGHXWQO \
  | 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: ac0e6abf75278c065d048f5e431ef6838449c3a797cdb179f171f0edf480e99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1868afe7ecc313cce556f0fcb54de5dcc2149fada08054110bc0521baa612dc4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-06T09:04:02Z",
    "title_canon_sha256": "7b76dd5016d981fa11b9e59ebb4da4a237371a6b7f6b30eba1a49f65415e8205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02067",
    "kind": "arxiv",
    "version": 3
  }
}