Pith Number

pith:Q5HOM2I4

pith:2025:Q5HOM2I4RWB5ZNUWNZUPBPTATI

not attested not anchored not stored refs pending

On variants of Chowla's conjecture

Krishnarjun Krishnamoorthy

arxiv:2501.10962 v2 · 2025-01-19 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5HOM2I4RWB5ZNUWNZUPBPTATI}

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	2026-07-05T10:27:23.564016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874ee6691c8d83dcb6966e68f0be609a01bd0a3601072d120506e0d183ed97c0

Aliases

arxiv: 2501.10962 · arxiv_version: 2501.10962v2 · doi: 10.48550/arxiv.2501.10962 · pith_short_12: Q5HOM2I4RWB5 · pith_short_16: Q5HOM2I4RWB5ZNUW · pith_short_8: Q5HOM2I4

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/Q5HOM2I4RWB5ZNUWNZUPBPTATI \
  | 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: 874ee6691c8d83dcb6966e68f0be609a01bd0a3601072d120506e0d183ed97c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2efc9207f20fab6a8deef36ac96c9eb479666ca17e40b5eaa41cd7c57646676",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-19T06:37:54Z",
    "title_canon_sha256": "7b41d818c91237a636db67c6cfce104aebd1b7d7477ad13c7639454ee7cb5581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10962",
    "kind": "arxiv",
    "version": 2
  }
}