Pith Number

pith:CY3JMEUD

pith:2011:CY3JMEUDQ7DILFITXJOBDOJCNQ

not attested not anchored not stored refs pending

Ergodicity of certain cocycles over certain interval exchanges

CPT, David Ralston, IML), Serge Troubetzkoy (FRUMAM

arxiv:1111.2465 v2 · 2011-11-10 · 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{CY3JMEUDQ7DILFITXJOBDOJCNQ}

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	2026-05-18T03:37:05.722324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163696128387c6859513ba5c11b9226c1f65bdc5c13903aea45d079251ed3b07

Aliases

arxiv: 1111.2465 · arxiv_version: 1111.2465v2 · doi: 10.48550/arxiv.1111.2465 · pith_short_12: CY3JMEUDQ7DI · pith_short_16: CY3JMEUDQ7DILFIT · pith_short_8: CY3JMEUD

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/CY3JMEUDQ7DILFITXJOBDOJCNQ \
  | 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: 163696128387c6859513ba5c11b9226c1f65bdc5c13903aea45d079251ed3b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19fa1a010f2655f5431d82bdd7f0030927927b2aaaaa0ed84b1dbe71a55ea0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-10T12:43:15Z",
    "title_canon_sha256": "907764f18ef0427f65765cbc8fa69ca050b981deb6dcbb349d5cd89f2c3a9721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2465",
    "kind": "arxiv",
    "version": 2
  }
}