Pith Number

pith:WALIB2E2

pith:2019:WALIB2E2FQGDVE3J7XO3YXJCTI

not attested not anchored not stored refs pending

Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture

\'Alvaro Lozano-Robledo, Benjamin Logsdon, Seoyoung Kim, Steven J. Miller, Trajan Hammonds

arxiv:1906.09407 v1 · 2019-06-22 · 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{WALIB2E2FQGDVE3J7XO3YXJCTI}

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	2026-05-17T23:42:38.220611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01680e89a2c0c3a9369fdddbc5d229a27f4dd136b2d1811c68f1745a1c0cffd

Aliases

arxiv: 1906.09407 · arxiv_version: 1906.09407v1 · doi: 10.48550/arxiv.1906.09407 · pith_short_12: WALIB2E2FQGD · pith_short_16: WALIB2E2FQGDVE3J · pith_short_8: WALIB2E2

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/WALIB2E2FQGDVE3J7XO3YXJCTI \
  | 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: b01680e89a2c0c3a9369fdddbc5d229a27f4dd136b2d1811c68f1745a1c0cffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb886cbe48a029e2417cdc899c4826c6e225a3cacb31a920c0d250a032bbe6ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-22T07:55:22Z",
    "title_canon_sha256": "741656181ba05436910d5410d53fd31f0e6455354d6921f7dff3d9f6a638a526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09407",
    "kind": "arxiv",
    "version": 1
  }
}