Pith Number

pith:PH5IZTQG

pith:2025:PH5IZTQGPJQHKPQ47T57YTGHQZ

not attested not anchored not stored refs pending

Gibbs measures for contact Anosov flows are all exponentially mixing

Luchezar Stoyanov

arxiv:2501.02537 v10 · 2025-01-05 · 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{PH5IZTQGPJQHKPQ47T57YTGHQZ}

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	2026-05-29T02:05:34.099733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fa8cce067a60753e1cfcfbfc4cc78648e703a2ee77449da6183d07f88c9ffd

Aliases

arxiv: 2501.02537 · arxiv_version: 2501.02537v10 · doi: 10.48550/arxiv.2501.02537 · pith_short_12: PH5IZTQGPJQH · pith_short_16: PH5IZTQGPJQHKPQ4 · pith_short_8: PH5IZTQG

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/PH5IZTQGPJQHKPQ47T57YTGHQZ \
  | 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: 79fa8cce067a60753e1cfcfbfc4cc78648e703a2ee77449da6183d07f88c9ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e62c7d3c1226fd2b4b2469d4ae6dae5d173632fc1b96a3bfb9b056b061d81739",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-05T13:39:47Z",
    "title_canon_sha256": "b659be4b84f92c152dd718add70b4c1d1b1a626909dad2a26d2f807476f0f50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02537",
    "kind": "arxiv",
    "version": 10
  }
}