Pith Number

pith:DNSZ7LYP

pith:2022:DNSZ7LYPVOPWIBBDOWCH3S3F6U

not attested not anchored not stored refs pending

Elementary methods in the study of Deuring-Heilbronn Phenomenon

Chiara Bellotti, Giuseppe Puglisi

arxiv:2201.03990 v3 · 2022-01-11 · 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{DNSZ7LYPVOPWIBBDOWCH3S3F6U}

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	2026-07-05T04:21:08.859848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b659faf0fab9f64042375847dcb65f51b433e268e7a780663086478d9675515

Aliases

arxiv: 2201.03990 · arxiv_version: 2201.03990v3 · doi: 10.48550/arxiv.2201.03990 · pith_short_12: DNSZ7LYPVOPW · pith_short_16: DNSZ7LYPVOPWIBBD · pith_short_8: DNSZ7LYP

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/DNSZ7LYPVOPWIBBDOWCH3S3F6U \
  | 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: 1b659faf0fab9f64042375847dcb65f51b433e268e7a780663086478d9675515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea366fb996bce3cb6dd3681274f6cc3e13a3a797e74451cdbbbf283a9acb538f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-01-11T15:09:10Z",
    "title_canon_sha256": "f2a2011f0422ab5d8d82d9fe78a713781d9c9071ff73eabd438169f03d07692a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03990",
    "kind": "arxiv",
    "version": 3
  }
}