Pith Number

pith:ZTIJIJ2N

pith:2017:ZTIJIJ2NQK75ANVCEMYINHIVNQ

not attested not anchored not stored refs pending

The a-number of hyperelliptic curves

Sarah Frei

arxiv:1703.03516 v2 · 2017-03-10 · 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{ZTIJIJ2NQK75ANVCEMYINHIVNQ}

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	2026-05-18T00:41:36.464364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd094274d82bfd036a22330869d156c2e4503bc3cdbb19282b9ae99ffa446e8

Aliases

arxiv: 1703.03516 · arxiv_version: 1703.03516v2 · doi: 10.48550/arxiv.1703.03516 · pith_short_12: ZTIJIJ2NQK75 · pith_short_16: ZTIJIJ2NQK75ANVC · pith_short_8: ZTIJIJ2N

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/ZTIJIJ2NQK75ANVCEMYINHIVNQ \
  | 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: ccd094274d82bfd036a22330869d156c2e4503bc3cdbb19282b9ae99ffa446e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7e48dd7fe203d138dc2b3c9efc743b91915540938c168da3e911404b390a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-10T02:12:41Z",
    "title_canon_sha256": "2155e89cce3799946c8192e57857111fc76cacccb84c4bd80ebe4406a0d8923a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03516",
    "kind": "arxiv",
    "version": 2
  }
}