Pith Number

pith:WGFNSJGS

pith:2015:WGFNSJGSZAD4HC6TP745TIZADG

not attested not anchored not stored refs pending

Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture

Stanislaw Kasjan, Tomasz Downarowicz

arxiv:1502.02307 v1 · 2015-02-08 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGFNSJGSZAD4HC6TP745TIZADG}

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	2026-05-18T02:27:42.925134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18ad924d2c807c38bd37ff9d9a32019abf1d26df8a8307a5b76b482b1e5429b

Aliases

arxiv: 1502.02307 · arxiv_version: 1502.02307v1 · doi: 10.48550/arxiv.1502.02307 · pith_short_12: WGFNSJGSZAD4 · pith_short_16: WGFNSJGSZAD4HC6T · pith_short_8: WGFNSJGS

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/WGFNSJGSZAD4HC6TP745TIZADG \
  | 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: b18ad924d2c807c38bd37ff9d9a32019abf1d26df8a8307a5b76b482b1e5429b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43f466647ac07284f24741c75937e223bd4c1c3f3a750b7d959a86fdf141bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-08T21:20:09Z",
    "title_canon_sha256": "9ce3310e9ba289affe43df410f6be2bdfe48f9a0835be25fbfa0c50c95f7b201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02307",
    "kind": "arxiv",
    "version": 1
  }
}