Pith Number

pith:VOTRT25T

pith:2019:VOTRT25T3UUKAJKB467AGRBV24

not attested not anchored not stored refs pending

A strictly ergodic, positive entropy subshift uniformly uncorrelated to the Moebius function

Jacek Serafin, Tomasz Downarowicz

arxiv:1902.04162 v1 · 2019-02-11 · 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{VOTRT25T3UUKAJKB467AGRBV24}

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	2026-05-17T23:54:12.909122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba719ebb3dd28a02541e7be034435d71495f416e3fe163991dd698702495e7d

Aliases

arxiv: 1902.04162 · arxiv_version: 1902.04162v1 · doi: 10.48550/arxiv.1902.04162 · pith_short_12: VOTRT25T3UUK · pith_short_16: VOTRT25T3UUKAJKB · pith_short_8: VOTRT25T

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/VOTRT25T3UUKAJKB467AGRBV24 \
  | 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: aba719ebb3dd28a02541e7be034435d71495f416e3fe163991dd698702495e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e1199c51a96235c0975b709000d96bbd4500e135e33b1f7b27149e11d69bbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-11T21:55:52Z",
    "title_canon_sha256": "9e0c32211b53c4c04f1a8e002c30f9d91b142628b46fb5bf5dacf9017eafa43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04162",
    "kind": "arxiv",
    "version": 1
  }
}