Pith Number

pith:YLMHT3NC

pith:2015:YLMHT3NCUDH46OJUOUTROLGCFB

not attested not anchored not stored refs pending

Brudno's theorem for Z^d (or Z^d_+) subshifts

Miho Tonozaki, Toru Fuda

arxiv:1508.05506 v1 · 2015-08-22 · math.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLMHT3NCUDH46OJUOUTROLGCFB}

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	2026-05-18T01:34:53.738393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d879eda2a0cfcf39347527172cc2285d02557d60a1848ccec2981152d36bdb

Aliases

arxiv: 1508.05506 · arxiv_version: 1508.05506v1 · doi: 10.48550/arxiv.1508.05506 · pith_short_12: YLMHT3NCUDH4 · pith_short_16: YLMHT3NCUDH46OJU · pith_short_8: YLMHT3NC

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/YLMHT3NCUDH46OJUOUTROLGCFB \
  | 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: c2d879eda2a0cfcf39347527172cc2285d02557d60a1848ccec2981152d36bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a573eea7171b561ea773840d9b23a45d19859c3259328624c79cf2ba9730d83",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-22T13:06:00Z",
    "title_canon_sha256": "a08665d2f66f61087a3586f723d556df8a10c22dd9516b8e096ed114a51f7517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05506",
    "kind": "arxiv",
    "version": 1
  }
}