Pith Number

pith:QRJ3A4KJ

pith:2018:QRJ3A4KJHSLVAR6XQRYNBOKHI5

not attested not anchored not stored refs pending

Generating functions for power moments of elliptic curves over $\mathbb{F}_p$

Katharine Woo, Katherine Gallagher, Katja Vassilev, Lucia Li, Naomi Sweeting

arxiv:1807.00749 v1 · 2018-07-02 · 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{QRJ3A4KJHSLVAR6XQRYNBOKHI5}

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	2026-05-18T00:11:51.535351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8453b071493c975047d78470d0b947474308085ee45c8e1a16285ec68433f171

Aliases

arxiv: 1807.00749 · arxiv_version: 1807.00749v1 · doi: 10.48550/arxiv.1807.00749 · pith_short_12: QRJ3A4KJHSLV · pith_short_16: QRJ3A4KJHSLVAR6X · pith_short_8: QRJ3A4KJ

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/QRJ3A4KJHSLVAR6XQRYNBOKHI5 \
  | 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: 8453b071493c975047d78470d0b947474308085ee45c8e1a16285ec68433f171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41890886873b8b5fa8e88791bdc5fe39c53f9342ade6b02e61f13c5b3dfe66d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-02T15:38:45Z",
    "title_canon_sha256": "fa42a431700e95eecbdf770fcfa2e4cd37eede312394befa266b9b81ad740123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00749",
    "kind": "arxiv",
    "version": 1
  }
}