Pith Number

pith:RPUTUJVF

pith:2011:RPUTUJVFG5YKJGORQON7YHNCNE

not attested not anchored not stored refs pending

Elliptic curves with a given number of points over finite fields

Chantal David, Ethan Smith

arxiv:1108.3539 v4 · 2011-08-17 · 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{RPUTUJVFG5YKJGORQON7YHNCNE}

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	2026-05-17T23:53:19.284190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be93a26a53770a499d1839bfc1da26934e4b6af6d61d7b72406e1f9078725cc

Aliases

arxiv: 1108.3539 · arxiv_version: 1108.3539v4 · doi: 10.48550/arxiv.1108.3539 · pith_short_12: RPUTUJVFG5YK · pith_short_16: RPUTUJVFG5YKJGOR · pith_short_8: RPUTUJVF

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/RPUTUJVFG5YKJGORQON7YHNCNE \
  | 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: 8be93a26a53770a499d1839bfc1da26934e4b6af6d61d7b72406e1f9078725cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78b7d3907b931d9b39108fecd2ec8671ca84b61706065a4392e060ca5c6a930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-17T18:14:26Z",
    "title_canon_sha256": "dd8562519a64bbea3fc8c03e949da015d1cae203f376e9a4a7ba27549fa4d732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3539",
    "kind": "arxiv",
    "version": 4
  }
}