Pith Number

pith:F3CSYTGJ

pith:2018:F3CSYTGJLCRBEK4NPT4NF3BXPM

not attested not anchored not stored refs pending

Distribution of residues modulo $p$ using the Dirichlet's class number formula

Bidisha Roy, Jaitra Chattopadhyay, R. Thangadurai, Subha Sarkar

arxiv:1810.00227 v2 · 2018-09-29 · 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{F3CSYTGJLCRBEK4NPT4NF3BXPM}

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	2026-05-17T23:55:19.627419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec52c4cc958a2122b8d7cf8d2ec377b3113f373120420051f47df46d7844d9b

Aliases

arxiv: 1810.00227 · arxiv_version: 1810.00227v2 · doi: 10.48550/arxiv.1810.00227 · pith_short_12: F3CSYTGJLCRB · pith_short_16: F3CSYTGJLCRBEK4N · pith_short_8: F3CSYTGJ

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/F3CSYTGJLCRBEK4NPT4NF3BXPM \
  | 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: 2ec52c4cc958a2122b8d7cf8d2ec377b3113f373120420051f47df46d7844d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6793725d033ae320b430d5df6eac26360e3e388383d8b2dc9863334b08ce729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-29T16:07:30Z",
    "title_canon_sha256": "4afeb0d49d5ed2804105ede991fb7e2b4c2c17f812a2f10a2f2158ace15ead01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00227",
    "kind": "arxiv",
    "version": 2
  }
}