Pith Number

pith:KAFAXBUE

pith:2018:KAFAXBUEDFUDXGNA2K7DCNEASZ

not attested not anchored not stored refs pending

Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States

Rodrigo Bissacot, Rodrigo Frausino, Ruy Exel, Thiago Raszeja

arxiv:1808.00765 v3 · 2018-08-02 · math-ph · math.MP · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAFAXBUEDFUDXGNA2K7DCNEASZ}

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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.

Cited by

1 paper in Pith

Extendable Shift Maps and Weighted Endomorphisms on Generalized Countable Markov Shifts

Receipt and verification

First computed	2026-07-05T04:50:29.578661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500a0b868419683b99a0d2be313480965dfccf084a2631998114f56701fdcede

Aliases

arxiv: 1808.00765 · arxiv_version: 1808.00765v3 · doi: 10.48550/arxiv.1808.00765 · pith_short_12: KAFAXBUEDFUD · pith_short_16: KAFAXBUEDFUDXGNA · pith_short_8: KAFAXBUE

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/KAFAXBUEDFUDXGNA2K7DCNEASZ \
  | 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: 500a0b868419683b99a0d2be313480965dfccf084a2631998114f56701fdcede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4878b7dbd5fc24fa73e3d95a37efaad8068a1d8a062bc660f6eaa80d7e2855b3",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-02T11:47:03Z",
    "title_canon_sha256": "b9ae79c4483716d44860b9c6760af39486e8c9a69b24d587d4ac71e4aefafc43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00765",
    "kind": "arxiv",
    "version": 3
  }
}