Pith Number

pith:RA3V2OWD

pith:2020:RA3V2OWDDOOD4QSKZ7XLZQ5AQY

not attested not anchored not stored refs pending

Transfer operators and limit laws for typical cocycles

Kiho Park, Mark Piraino

arxiv:2007.02349 v1 · 2020-07-05 · 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{RA3V2OWDDOOD4QSKZ7XLZQ5AQY}

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	2026-07-05T01:16:21.440506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88375d3ac31b9c3e424acfeebcc3a08615a3a6545f6e612a728de2c898b5e9f2

Aliases

arxiv: 2007.02349 · arxiv_version: 2007.02349v1 · doi: 10.48550/arxiv.2007.02349 · pith_short_12: RA3V2OWDDOOD · pith_short_16: RA3V2OWDDOOD4QSK · pith_short_8: RA3V2OWD

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/RA3V2OWDDOOD4QSKZ7XLZQ5AQY \
  | 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: 88375d3ac31b9c3e424acfeebcc3a08615a3a6545f6e612a728de2c898b5e9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bea8e33cd2de73f4ee439361971b2bf3de8574ab7a080f5e8ce5b245cc1bbbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-07-05T14:20:51Z",
    "title_canon_sha256": "2fc6135bda56fa6c0787933b30fb9b12e8c0d3ccca6cbcdbdf014671f6eeaf66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02349",
    "kind": "arxiv",
    "version": 1
  }
}