Pith Number

pith:JM6UVNO4

pith:2016:JM6UVNO4QYGZAYYTARVIHKRHE4

not attested not anchored not stored refs pending

Pseudorandomness of the Ostrowski sum-of-digits function

Lukas Spiegelhofer

arxiv:1611.03043 v1 · 2016-11-09 · 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{JM6UVNO4QYGZAYYTARVIHKRHE4}

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	2026-05-18T00:59:42.749844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3d4ab5dc860d906313046a83aa2727140882388b220667abe20f4462390e91

Aliases

arxiv: 1611.03043 · arxiv_version: 1611.03043v1 · doi: 10.48550/arxiv.1611.03043 · pith_short_12: JM6UVNO4QYGZ · pith_short_16: JM6UVNO4QYGZAYYT · pith_short_8: JM6UVNO4

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/JM6UVNO4QYGZAYYTARVIHKRHE4 \
  | 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: 4b3d4ab5dc860d906313046a83aa2727140882388b220667abe20f4462390e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0d07dcb26650751acea5e5827d6e3279310417477312973a8027915192ecc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-09T18:42:30Z",
    "title_canon_sha256": "3677aa592976ee9af17a7931f3ca80178f35b9dda4893f4be8eb1f133902775d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03043",
    "kind": "arxiv",
    "version": 1
  }
}