Pith Number

pith:FWGPH6OJ

pith:2006:FWGPH6OJ44B6RCOZEJVLCKV3UI

not attested not anchored not stored refs pending

Return times, recurrence densities and entropy for actions of some discrete amenable groups

Michael Hochman

arxiv:math/0601437 v1 · 2006-01-18 · 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{FWGPH6OJ44B6RCOZEJVLCKV3UI}

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	2026-05-18T02:42:13.420858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d8cf3f9c9e703e889d9226ab12abba233501fdbaccc6be34e22c681565fce5c

Aliases

arxiv: math/0601437 · arxiv_version: math/0601437v1 · doi: 10.48550/arxiv.math/0601437 · pith_short_12: FWGPH6OJ44B6 · pith_short_16: FWGPH6OJ44B6RCOZ · pith_short_8: FWGPH6OJ

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/FWGPH6OJ44B6RCOZEJVLCKV3UI \
  | 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: 2d8cf3f9c9e703e889d9226ab12abba233501fdbaccc6be34e22c681565fce5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3c9a0d9b266c384c6a9f8176713962dfca803cf7d0c9e57b806fcd20a390c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-18T13:35:08Z",
    "title_canon_sha256": "9909e2ff3822ecdd94d65f5bbec0645700bffb9b0193ec631be144c916f9f300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601437",
    "kind": "arxiv",
    "version": 1
  }
}