Pith Number

pith:MP2AEB6G

pith:2026:MP2AEB6GXPZYPSKIU2VPRG6XF5

not attested not anchored not stored refs pending

The generalized Montgomery-Hooley formula: A survey

Robert C. Vaughan

arxiv:2605.18996 v1 · 2026-05-18 · 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{MP2AEB6GXPZYPSKIU2VPRG6XF5}

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	2026-05-20T00:06:42.077546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f40207c6bbf387c948a6aaf89bd72f4dac3a9dd39011c0dde7a245e7b9ed84

Aliases

arxiv: 2605.18996 · arxiv_version: 2605.18996v1 · doi: 10.48550/arxiv.2605.18996 · pith_short_12: MP2AEB6GXPZY · pith_short_16: MP2AEB6GXPZYPSKI · pith_short_8: MP2AEB6G

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/MP2AEB6GXPZYPSKIU2VPRG6XF5 \
  | 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: 63f40207c6bbf387c948a6aaf89bd72f4dac3a9dd39011c0dde7a245e7b9ed84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fb367d3176757e89caf6bfddb57a9a79ecc96d00f45b8c0a83d6d21c900ae2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-18T18:14:29Z",
    "title_canon_sha256": "214d9f817769831c27514a632cee2a207c7f6b7fd23511c0d131ce1fde6a7acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18996",
    "kind": "arxiv",
    "version": 1
  }
}