Pith Number

pith:3GLF7OAQ

pith:2019:3GLF7OAQMFVOA54V75SRWQZHFA

not attested not anchored not stored refs pending

Purity results for some arithmetically defined measures

Peter J. Grabner

arxiv:1908.09023 v3 · 2019-08-23 · math.DS · 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{3GLF7OAQMFVOA54V75SRWQZHFA}

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	2026-07-05T04:22:48.539450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9965fb810616ae07795ff651b4327281ac85846f2fbac4bb0d7ac876723c216

Aliases

arxiv: 1908.09023 · arxiv_version: 1908.09023v3 · doi: 10.48550/arxiv.1908.09023 · pith_short_12: 3GLF7OAQMFVO · pith_short_16: 3GLF7OAQMFVOA54V · pith_short_8: 3GLF7OAQ

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/3GLF7OAQMFVOA54V75SRWQZHFA \
  | 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: d9965fb810616ae07795ff651b4327281ac85846f2fbac4bb0d7ac876723c216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1792fdd7bd72203f7a581392344231c7cb322b12caab2bb4e83d6e1c9ca53879",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-23T20:11:50Z",
    "title_canon_sha256": "31023d7936d38639da8fcdf223f41b7acff73b426c9e72ea1794dd6da130280d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09023",
    "kind": "arxiv",
    "version": 3
  }
}