Pith Number

pith:IWNRHUKK

pith:2018:IWNRHUKK3AXFL2GLIFIUD7LHMP

not attested not anchored not stored refs pending

Counting rational points and lower bounds for Galois orbits

Harry Schmidt

arxiv:1802.02192 v3 · 2018-02-06 · 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{IWNRHUKK3AXFL2GLIFIUD7LHMP}

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	2026-05-17T23:53:09.707264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459b13d14ad82e55e8cb415141fd6763e7d60a50ee9ad9acd40ac5600928df2a

Aliases

arxiv: 1802.02192 · arxiv_version: 1802.02192v3 · doi: 10.48550/arxiv.1802.02192 · pith_short_12: IWNRHUKK3AXF · pith_short_16: IWNRHUKK3AXFL2GL · pith_short_8: IWNRHUKK

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/IWNRHUKK3AXFL2GLIFIUD7LHMP \
  | 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: 459b13d14ad82e55e8cb415141fd6763e7d60a50ee9ad9acd40ac5600928df2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047a2b63970aa3aa1af34ee57c046b471f55e97b9713fc8f8c0a4dada97508fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-06T20:06:47Z",
    "title_canon_sha256": "b9a7b7ff61036e024176f3d750a349f0b9a4b7e938c4bade590472eaab3b3af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02192",
    "kind": "arxiv",
    "version": 3
  }
}