Pith Number

pith:EHYVOAFI

pith:2013:EHYVOAFIH2SMKSEI4H3YTI5GGV

not attested not anchored not stored refs pending

On the system $f(nx)$ and probabilistic number theory

Christoph Aistleitner, Istvan Berkes, Robert Tichy

arxiv:1311.4926 v2 · 2013-11-20 · 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{EHYVOAFIH2SMKSEI4H3YTI5GGV}

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	2026-05-18T03:02:46.510716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f15700a83ea4c54888e1f789a3a63573197bf7d4fd0c514f93c3da711aa2e2

Aliases

arxiv: 1311.4926 · arxiv_version: 1311.4926v2 · doi: 10.48550/arxiv.1311.4926 · pith_short_12: EHYVOAFIH2SM · pith_short_16: EHYVOAFIH2SMKSEI · pith_short_8: EHYVOAFI

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/EHYVOAFIH2SMKSEI4H3YTI5GGV \
  | 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: 21f15700a83ea4c54888e1f789a3a63573197bf7d4fd0c514f93c3da711aa2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab2949706bcfec66b05650e22941cdc19cabb93f8a3f553d224079d173e7b72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-20T00:33:58Z",
    "title_canon_sha256": "863f5e853f7cf5630bd584018aef0dac30de26facf0e2d3e91ef4aed3e4b3b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4926",
    "kind": "arxiv",
    "version": 2
  }
}