Pith Number

pith:AHL7UZ3I

pith:2010:AHL7UZ3IAXHWCHGXRQRPGVERWP

not attested not anchored not stored refs pending

On weak mixing, minimality and weak disjointness of all iterates

Dominik Kwietniak, Piotr Oprocha

arxiv:1009.2277 v4 · 2010-09-13 · 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{AHL7UZ3IAXHWCHGXRQRPGVERWP}

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	2026-05-18T02:52:42.514448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d7fa676805cf611cd78c22f35491b3d801134d55b46b33103bc5becd3ea409

Aliases

arxiv: 1009.2277 · arxiv_version: 1009.2277v4 · doi: 10.48550/arxiv.1009.2277 · pith_short_12: AHL7UZ3IAXHW · pith_short_16: AHL7UZ3IAXHWCHGX · pith_short_8: AHL7UZ3I

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/AHL7UZ3IAXHWCHGXRQRPGVERWP \
  | 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: 01d7fa676805cf611cd78c22f35491b3d801134d55b46b33103bc5becd3ea409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428562dc9381905b791a711061e11264b1c6618c46d4c1036981cadd69b673dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-13T00:31:55Z",
    "title_canon_sha256": "81715c0a15dceb951a5fe595b5fa07310961b60cb2c49c236a7849f89e85be84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2277",
    "kind": "arxiv",
    "version": 4
  }
}