Pith Number

pith:K4JZSROW

pith:2016:K4JZSROWUOM32RKOHYRJVGE226

not attested not anchored not stored refs pending

Thermodynamic formalism for some systems with countable Markov structures

Michael Jakobson

arxiv:1601.06013 v1 · 2016-01-22 · 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{K4JZSROWUOM32RKOHYRJVGE226}

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	2026-05-18T01:22:09.564294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57139945d6a399bd454e3e229a989ad79167dbb7a65569890141f1d3826c0b62

Aliases

arxiv: 1601.06013 · arxiv_version: 1601.06013v1 · doi: 10.48550/arxiv.1601.06013 · pith_short_12: K4JZSROWUOM3 · pith_short_16: K4JZSROWUOM32RKO · pith_short_8: K4JZSROW

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/K4JZSROWUOM32RKOHYRJVGE226 \
  | 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: 57139945d6a399bd454e3e229a989ad79167dbb7a65569890141f1d3826c0b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d46abe0dcd5d52d8379ee45f19aceb118b03113991204ff30093711366c44f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-22T14:24:36Z",
    "title_canon_sha256": "92ba2f8394f9096556965bb4f5d753aad14802dbb354e67248a92a7ffa13af63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06013",
    "kind": "arxiv",
    "version": 1
  }
}