Pith Number

pith:J5JT3DJK

pith:2011:J5JT3DJK3BF7XHOG7VT6XPLMCX

not attested not anchored not stored refs pending

Counting rational points on smooth cyclic covers

D. R. Heath-Brown, Lillian B. Pierce

arxiv:1109.1455 v1 · 2011-09-07 · 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{J5JT3DJK3BF7XHOG7VT6XPLMCX}

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	2026-05-18T04:13:55.674197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f533d8d2ad84bfb9dc6fd67ebbd6c15ff6599125603b51e084a60f5b2052378

Aliases

arxiv: 1109.1455 · arxiv_version: 1109.1455v1 · doi: 10.48550/arxiv.1109.1455 · pith_short_12: J5JT3DJK3BF7 · pith_short_16: J5JT3DJK3BF7XHOG · pith_short_8: J5JT3DJK

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/J5JT3DJK3BF7XHOG7VT6XPLMCX \
  | 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: 4f533d8d2ad84bfb9dc6fd67ebbd6c15ff6599125603b51e084a60f5b2052378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d5e434c1d1900ac9489afab0efb13d21aa9ea83a1c14104bf2e2c92cacf81aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-07T13:46:36Z",
    "title_canon_sha256": "e30b2f692c29cd0485a6fefae27837ed1b6adb345dea67fd925324f4d3038dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1455",
    "kind": "arxiv",
    "version": 1
  }
}