Pith Number

pith:EFC2TMFM

pith:2020:EFC2TMFMXR7G7NQLMRXN4EDBCL

not attested not anchored not stored refs pending

Equilibrium states of intermediate entropies

Peng Sun

arxiv:2006.06358 v1 · 2020-06-11 · 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{EFC2TMFMXR7G7NQLMRXN4EDBCL}

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.

Cited by

1 paper in Pith

Unique ergodicity for zero-entropy dynamical systems with the approximate product property

Receipt and verification

First computed	2026-07-05T01:09:33.228358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2145a9b0acbc7e6fb60b646ede106112ca6399473ab54fdf9f8c3002c595ac79

Aliases

arxiv: 2006.06358 · arxiv_version: 2006.06358v1 · doi: 10.48550/arxiv.2006.06358 · pith_short_12: EFC2TMFMXR7G · pith_short_16: EFC2TMFMXR7G7NQL · pith_short_8: EFC2TMFM

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/EFC2TMFMXR7G7NQLMRXN4EDBCL \
  | 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: 2145a9b0acbc7e6fb60b646ede106112ca6399473ab54fdf9f8c3002c595ac79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be09ad816e328850e91b6c578edc8ea1ef4efceb3bd8bf616dff7863da23c0d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-06-11T12:21:05Z",
    "title_canon_sha256": "17239e1bd5f0a5f3de749a7bea9c509320f045461385329201718367e0525690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06358",
    "kind": "arxiv",
    "version": 1
  }
}