Pith Number

pith:XA36NHSL

pith:2010:XA36NHSLLNJQAHMSCOX5UC75G7

not attested not anchored not stored refs pending

Ito-Sadahiro numbers vs. Parry numbers

Edita Pelantov\'a, Zuzana Mas\'akov\'a

arxiv:1010.6181 v1 · 2010-10-29 · 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{XA36NHSLLNJQAHMSCOX5UC75G7}

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	2026-05-18T04:38:07.341858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b837e69e4b5b53001d9213afda0bfd37d7829e7aa2279a90158f4dbf4b65bd25

Aliases

arxiv: 1010.6181 · arxiv_version: 1010.6181v1 · doi: 10.48550/arxiv.1010.6181 · pith_short_12: XA36NHSLLNJQ · pith_short_16: XA36NHSLLNJQAHMS · pith_short_8: XA36NHSL

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/XA36NHSLLNJQAHMSCOX5UC75G7 \
  | 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: b837e69e4b5b53001d9213afda0bfd37d7829e7aa2279a90158f4dbf4b65bd25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1148572d6ec7d4f19beb61e1f27afe0f2868970305b9dc4a30fe9aae8651ab17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-29T11:29:50Z",
    "title_canon_sha256": "e330fbdd23b099e9ce3a57f276d81acf7372b2d738161ecde82ab021fed6717a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6181",
    "kind": "arxiv",
    "version": 1
  }
}