Pith Number

pith:W5FAPKSE

pith:2024:W5FAPKSE3R4NZF6E44H7ZL33ON

not attested not anchored not stored refs pending

Distribution of solutions to systems of congruences in balls

Michael Harm

arxiv:2403.05078 v2 · 2024-03-08 · 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{W5FAPKSE3R4NZF6E44H7ZL33ON}

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	2026-05-20T01:04:48.986483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74a07aa44dc78dc97c4e70ffcaf7b7361d9670b0da44eaed9893e7233d83c45

Aliases

arxiv: 2403.05078 · arxiv_version: 2403.05078v2 · doi: 10.48550/arxiv.2403.05078 · pith_short_12: W5FAPKSE3R4N · pith_short_16: W5FAPKSE3R4NZF6E · pith_short_8: W5FAPKSE

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/W5FAPKSE3R4NZF6E44H7ZL33ON \
  | 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: b74a07aa44dc78dc97c4e70ffcaf7b7361d9670b0da44eaed9893e7233d83c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742d2469d04522034c2dc294166b85aa8b40479f0f99e5a3ae9a9d2317f2ee31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-08T06:13:32Z",
    "title_canon_sha256": "4bf2bb42e2e9b9a9fb42ec69200d5519ebe19163898f7fa4103ac86c2b74b143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.05078",
    "kind": "arxiv",
    "version": 2
  }
}