Pith Number

pith:7YH7O2CF

pith:2017:7YH7O2CFL6YG5F52PRQDXIWYUZ

not attested not anchored not stored refs pending

Joint distribution in residue classes of the base-$q$ and Ostrowski digital sums

Divyum Sharma

arxiv:1710.09873 v1 · 2017-10-26 · 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{7YH7O2CFL6YG5F52PRQDXIWYUZ}

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	2026-05-18T00:31:55.302042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0ff768455fb06e97ba7c603ba2d8a657027e55895e1fea06a2f8481094fd1d

Aliases

arxiv: 1710.09873 · arxiv_version: 1710.09873v1 · doi: 10.48550/arxiv.1710.09873 · pith_short_12: 7YH7O2CFL6YG · pith_short_16: 7YH7O2CFL6YG5F52 · pith_short_8: 7YH7O2CF

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/7YH7O2CFL6YG5F52PRQDXIWYUZ \
  | 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: fe0ff768455fb06e97ba7c603ba2d8a657027e55895e1fea06a2f8481094fd1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e41b1a6d19370c7b64e7a1049430982ab2972924fe236fd0606086b1e4135cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-26T19:04:11Z",
    "title_canon_sha256": "c3208f2cbb665ef5ce20c6408cd9bedbe455b7a83a427851e268b42d4fe89c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09873",
    "kind": "arxiv",
    "version": 1
  }
}