Pith Number

pith:SL5OPAT5

pith:2011:SL5OPAT5ICYYMEODW4EUQHBNHR

not attested not anchored not stored refs pending

Lifting mixing properties by Rokhlin cocycles

F. Parreau, M. Lemanczyk

arxiv:1102.0848 v1 · 2011-02-04 · 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{SL5OPAT5ICYYMEODW4EUQHBNHR}

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	2026-05-18T04:30:03.502883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92fae7827d40b18611c3b709481c2d3c756925bb171827b88350d68af818bbb1

Aliases

arxiv: 1102.0848 · arxiv_version: 1102.0848v1 · doi: 10.48550/arxiv.1102.0848 · pith_short_12: SL5OPAT5ICYY · pith_short_16: SL5OPAT5ICYYMEOD · pith_short_8: SL5OPAT5

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/SL5OPAT5ICYYMEODW4EUQHBNHR \
  | 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: 92fae7827d40b18611c3b709481c2d3c756925bb171827b88350d68af818bbb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f701d6d7db9a7732c1fe0bd9a181f95f00ec3c4f7a67450b258ed101e9417894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-04T07:45:55Z",
    "title_canon_sha256": "29b6a2c7b221fa20f7cb27770158bc9746ba61634424b26531f06aea572fdf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0848",
    "kind": "arxiv",
    "version": 1
  }
}