Pith Number

pith:IUHY6OTF

pith:2017:IUHY6OTFP3FN7LTSUQCK7SLYUH

not attested not anchored not stored refs pending

Expected Value of High Powers of Trace of Frobenius of Biquadratic Curves Over a Finite Field

Patrick Meisner

arxiv:1707.06531 v1 · 2017-07-20 · 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{IUHY6OTFP3FN7LTSUQCK7SLYUH}

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	2026-05-18T00:39:53.613530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

450f8f3a657ecadfae72a404afc978a1cbd8e2827716cfca0b7767786c99366e

Aliases

arxiv: 1707.06531 · arxiv_version: 1707.06531v1 · doi: 10.48550/arxiv.1707.06531 · pith_short_12: IUHY6OTFP3FN · pith_short_16: IUHY6OTFP3FN7LTS · pith_short_8: IUHY6OTF

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/IUHY6OTFP3FN7LTSUQCK7SLYUH \
  | 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: 450f8f3a657ecadfae72a404afc978a1cbd8e2827716cfca0b7767786c99366e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355b30f098a5783e8fc41104b697140dbe805650b6c6564cb1556edd53867d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-20T14:20:04Z",
    "title_canon_sha256": "ee8b3a78df6018ddf4ad024cbffc0b94d3fb355e4da176b9b839eb9d3b48a434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06531",
    "kind": "arxiv",
    "version": 1
  }
}