Pith Number

pith:SVKWNFSN

pith:2026:SVKWNFSNO6TSKYQTOSKA5MLS5U

not attested not anchored not stored refs pending

Squarefree numbers in short intervals: explicit and formalized

Mayank Pandey

arxiv:2608.06682 v1 · 2026-08-07 · 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{SVKWNFSNO6TSKYQTOSKA5MLS5U}

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	2026-08-10T01:11:41.582204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

955566964d77a725621374940eb172ed078a54c9fac7c27b4d0fd97d99fb682d

Aliases

arxiv: 2608.06682 · arxiv_version: 2608.06682v1 · doi: 10.48550/arxiv.2608.06682 · pith_short_12: SVKWNFSNO6TS · pith_short_16: SVKWNFSNO6TSKYQT · pith_short_8: SVKWNFSN

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/SVKWNFSNO6TSKYQTOSKA5MLS5U \
  | 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: 955566964d77a725621374940eb172ed078a54c9fac7c27b4d0fd97d99fb682d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b00fbf2cdd9cf6614ae440f2e89d0028d761cd161e8ef14a71f47240a932f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-07T01:07:12Z",
    "title_canon_sha256": "8467c885b17cbfc6e2f0fae00c9d095ae713d0d57f56d2d59f1b49e4a0c7e2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06682",
    "kind": "arxiv",
    "version": 1
  }
}