Pith Number

pith:P7SKOTYT

pith:2004:P7SKOTYTJJM2TSZANQRQLLV5B2

not attested not anchored not stored refs pending

Divisibility tests and recurring decimals in Euclidean domains

Apoorva Khare

arxiv:math/0406025 v3 · 2004-06-01 · 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{P7SKOTYTJJM2TSZANQRQLLV5B2}

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	2026-05-18T04:16:39.807604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe4a74f134a59a9cb206c2305aebd0e876fc4a303202d82bdb02e8d5475384d

Aliases

arxiv: math/0406025 · arxiv_version: math/0406025v3 · doi: 10.48550/arxiv.math/0406025 · pith_short_12: P7SKOTYTJJM2 · pith_short_16: P7SKOTYTJJM2TSZA · pith_short_8: P7SKOTYT

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/P7SKOTYTJJM2TSZANQRQLLV5B2 \
  | 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: 7fe4a74f134a59a9cb206c2305aebd0e876fc4a303202d82bdb02e8d5475384d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d989f621c8dc3b48aa1c9a5665e6b67318fb42e34d02c53abd35f2674b77f1b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-06-01T23:48:38Z",
    "title_canon_sha256": "af415b68b01acd9ef34284a25b7ab9cf02caf962f0064913c3d8064fb7168d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406025",
    "kind": "arxiv",
    "version": 3
  }
}