Pith Number

pith:U77MYSA7

pith:2020:U77MYSA75HGL7TGKNGSBUNZPZZ

not attested not anchored not stored refs pending

Smooth mixing Anosov flows in dimension three are exponential mixing

Masato Tsujii, Zhiyuan Zhang

arxiv:2006.04293 v1 · 2020-06-08 · 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{U77MYSA75HGL7TGKNGSBUNZPZZ}

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

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Receipt and verification

First computed	2026-07-05T01:08:37.834418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fecc481fe9ccbfccca69a41a372fce61054dcc09d880976a68768676b7eac6

Aliases

arxiv: 2006.04293 · arxiv_version: 2006.04293v1 · doi: 10.48550/arxiv.2006.04293 · pith_short_12: U77MYSA75HGL · pith_short_16: U77MYSA75HGL7TGK · pith_short_8: U77MYSA7

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/U77MYSA75HGL7TGKNGSBUNZPZZ \
  | 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: a7fecc481fe9ccbfccca69a41a372fce61054dcc09d880976a68768676b7eac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988e4a18890f63e3c66cfe2484c44a250042c2012c24a4c0775d09e655349f4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-06-08T00:18:47Z",
    "title_canon_sha256": "94063ab1db92486c7419accaa1774a1be9bbc8ade07db3f0a9f83b69dcee1ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.04293",
    "kind": "arxiv",
    "version": 1
  }
}