Pith Number

pith:ZNAJ22JL

pith:2016:ZNAJ22JL5Z676OAZQDMUAF5A5V

not attested not anchored not stored refs pending

Discrepancy Skew Products and Affine Random Walks

Hitoshi Nakada, Jon. Aaronson, Michael Bromberg

arxiv:1603.07233 v5 · 2016-03-23 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNAJ22JL5Z676OAZQDMUAF5A5V}

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	2026-05-18T00:32:44.653094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb409d692bee7dff381980d94017a0ed56e306d2c27ef3dc721fe2190508b398

Aliases

arxiv: 1603.07233 · arxiv_version: 1603.07233v5 · doi: 10.48550/arxiv.1603.07233 · pith_short_12: ZNAJ22JL5Z67 · pith_short_16: ZNAJ22JL5Z676OAZ · pith_short_8: ZNAJ22JL

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/ZNAJ22JL5Z676OAZQDMUAF5A5V \
  | 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: cb409d692bee7dff381980d94017a0ed56e306d2c27ef3dc721fe2190508b398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc22174dd73d83a2ede3b1145740e3df30d9444a245f2d864a49a6f824ec4fde",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-23T15:28:16Z",
    "title_canon_sha256": "65f00021f600bf552c97b5c6089d5c47b22a31ffb401a7f554c0ec4bbb6a1ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07233",
    "kind": "arxiv",
    "version": 5
  }
}