Pith Number

pith:IVZC374P

pith:2025:IVZC374PQMMUKRBZA3BXCVGCTD

not attested not anchored not stored refs pending

On pairs of consecutive sequences with the same radicals

Noah Lebowitz-Lockard

arxiv:2507.09899 v1 · 2025-07-14 · 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{IVZC374PQMMUKRBZA3BXCVGCTD}

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	2026-07-05T11:36:41.886989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45722dff8f831945443906c37154c298e4ad5a44a3782f672c3f807b0595a65d

Aliases

arxiv: 2507.09899 · arxiv_version: 2507.09899v1 · doi: 10.48550/arxiv.2507.09899 · pith_short_12: IVZC374PQMMU · pith_short_16: IVZC374PQMMUKRBZ · pith_short_8: IVZC374P

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/IVZC374PQMMUKRBZA3BXCVGCTD \
  | 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: 45722dff8f831945443906c37154c298e4ad5a44a3782f672c3f807b0595a65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df5309f42d66dc7c424fff6f2970c201c7c932d21c37ccf653ef4087292cc11",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-14T04:08:33Z",
    "title_canon_sha256": "e97770f8b67e40019afd325d324973289180e532010362a7c51e2357a3a3e398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09899",
    "kind": "arxiv",
    "version": 1
  }
}