Pith Number

pith:ZL3HH3FF

pith:2019:ZL3HH3FFYH4N3KOVYU7UJ4J23M

not attested not anchored not stored refs pending

On Emergence and Complexity of Ergodic Decompositions

Jairo Bochi, Pierre Berger

arxiv:1901.03300 v3 · 2019-01-10 · 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{ZL3HH3FFYH4N3KOVYU7UJ4J23M}

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

Ulam meets Turing: constructing quadratic maps with non-computable SRB measures

Receipt and verification

First computed	2026-07-05T02:53:49.496703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf673eca5c1f8dda9d5c53f44f13adb3d686ce9d0f3604278bb392ac8264999

Aliases

arxiv: 1901.03300 · arxiv_version: 1901.03300v3 · doi: 10.48550/arxiv.1901.03300 · pith_short_12: ZL3HH3FFYH4N · pith_short_16: ZL3HH3FFYH4N3KOV · pith_short_8: ZL3HH3FF

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/ZL3HH3FFYH4N3KOVYU7UJ4J23M \
  | 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: caf673eca5c1f8dda9d5c53f44f13adb3d686ce9d0f3604278bb392ac8264999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94f3e08dcc2a5e8ab3e643b7370def32336c75c433d65965003e2f3a4991763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-10T18:06:16Z",
    "title_canon_sha256": "7c82eec6f4934b9126bab3343c3c231d5d6366834bef6f6e61c154c165fc2309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03300",
    "kind": "arxiv",
    "version": 3
  }
}