Pith Number

pith:ZX4B35WY

pith:2016:ZX4B35WYMHGV5AGDH63UHM52LF

not attested not anchored not stored refs pending

Smooth ergodic theory of $\mathbb{Z}^d$-actions

Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang

arxiv:1610.09997 v1 · 2016-10-31 · 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{ZX4B35WYMHGV5AGDH63UHM52LF}

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	2026-05-18T01:00:46.763749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf81df6d861cd5e80c33fb743b3ba5950b42f269ae6f9a7f1caecf5f894ffbe

Aliases

arxiv: 1610.09997 · arxiv_version: 1610.09997v1 · doi: 10.48550/arxiv.1610.09997 · pith_short_12: ZX4B35WYMHGV · pith_short_16: ZX4B35WYMHGV5AGD · pith_short_8: ZX4B35WY

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/ZX4B35WYMHGV5AGDH63UHM52LF \
  | 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: cdf81df6d861cd5e80c33fb743b3ba5950b42f269ae6f9a7f1caecf5f894ffbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c893d9f9ee08ed1b92c7b5ab8e9494add6c5301b262efdb750fbeafa2a983131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-31T16:14:24Z",
    "title_canon_sha256": "bf743a176d188dc79d4e730607c36a9315ec7aaeb18cde6bb93e81402ddb0ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09997",
    "kind": "arxiv",
    "version": 1
  }
}