Pith Number

pith:NB74NISM

pith:2011:NB74NISMO6PUDYEUKC5Q74VAH3

not attested not anchored not stored refs pending

Slow entropy and differentiable models for infinite-measure preserving Z^k actions

Michael Hochman

arxiv:1105.4677 v2 · 2011-05-24 · 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{NB74NISMO6PUDYEUKC5Q74VAH3}

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	2026-05-18T02:42:15.438868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687fc6a24c779f41e09450bb0ff2a03efb0695942cc6f6712556a59b306c9720

Aliases

arxiv: 1105.4677 · arxiv_version: 1105.4677v2 · doi: 10.48550/arxiv.1105.4677 · pith_short_12: NB74NISMO6PU · pith_short_16: NB74NISMO6PUDYEU · pith_short_8: NB74NISM

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/NB74NISMO6PUDYEUKC5Q74VAH3 \
  | 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: 687fc6a24c779f41e09450bb0ff2a03efb0695942cc6f6712556a59b306c9720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2579d1cc88c3791e6679a7eb3f313a91654ea7d2093cb2b0bd4ab68c2a398b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-24T04:26:14Z",
    "title_canon_sha256": "1e399605a3b014318dc351e679d71b15cdfa8e6391b9232fd8ba86a77f783aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4677",
    "kind": "arxiv",
    "version": 2
  }
}