Pith Number

pith:PRZZPUDJ

pith:2014:PRZZPUDJGUBHL6HYVOPHAQ2L7R

not attested not anchored not stored refs pending

On intrinsic ergodicity of factors of $\mathbb{Z}^d$ subshifts

Kevin McGoff, Ronnie Pavlov

arxiv:1405.2095 v1 · 2014-05-08 · 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{PRZZPUDJGUBHL6HYVOPHAQ2L7R}

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	2026-05-18T01:30:25.870951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7397d069350275f8f8ab9e70434bfc747e9b80f14ef34f4195f21d128a618a

Aliases

arxiv: 1405.2095 · arxiv_version: 1405.2095v1 · doi: 10.48550/arxiv.1405.2095 · pith_short_12: PRZZPUDJGUBH · pith_short_16: PRZZPUDJGUBHL6HY · pith_short_8: PRZZPUDJ

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/PRZZPUDJGUBHL6HYVOPHAQ2L7R \
  | 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: 7c7397d069350275f8f8ab9e70434bfc747e9b80f14ef34f4195f21d128a618a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e96b6d7d0b7a5abb42c82ddbfa65c10518acecd28c2a9bc278443ef30d4a41d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-08T20:48:53Z",
    "title_canon_sha256": "c22eaec76a5e053759e40fb7ebbbb925d4a578590bb0c2bfc9ea902cb3f86b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2095",
    "kind": "arxiv",
    "version": 1
  }
}