Pith Number

pith:WREDSEKS

pith:2026:WREDSEKSGHVJ5KFRKBVMJIAY3E

not attested not anchored not stored refs pending

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question

Leiye Xu, Shuhao Zhang, Zongrui Hu

arxiv:2607.11549 v1 · 2026-07-13 · math.DS · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WREDSEKSGHVJ5KFRKBVMJIAY3E}

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	2026-07-14T02:22:10.407349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44839115231ea9ea8b1506ac4a018d939a7b712777311c480e628f37521f791

Aliases

arxiv: 2607.11549 · arxiv_version: 2607.11549v1 · doi: 10.48550/arxiv.2607.11549 · pith_short_12: WREDSEKSGHVJ · pith_short_16: WREDSEKSGHVJ5KFR · pith_short_8: WREDSEKS

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/WREDSEKSGHVJ5KFRKBVMJIAY3E \
  | 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: b44839115231ea9ea8b1506ac4a018d939a7b712777311c480e628f37521f791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad56247a44b2ed74d8b8d42565991fda62d96d7e27d2232c1ae592a57f2acef",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-13T13:33:53Z",
    "title_canon_sha256": "70abefb315dd6931cc84569913e32b6e89d94a8a004c38d40c76d5035c457bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11549",
    "kind": "arxiv",
    "version": 1
  }
}