Pith Number

pith:22YLOPWP

pith:2002:22YLOPWPX5NR5SBYCU7VRELCQO

not attested not anchored not stored refs pending

Recurrence and ergodicity in unital *-algebras

Anton Stroh, Rocco Duvenhage

arxiv:math/0208082 v1 · 2002-08-10 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22YLOPWPX5NR5SBYCU7VRELCQO}

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	2026-05-18T00:12:02.787423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b0b73ecfbf5b1ec838153f589162839871feeef9a6ebcc2af9c91e9e74a335

Aliases

arxiv: math/0208082 · arxiv_version: math/0208082v1 · doi: 10.48550/arxiv.math/0208082 · pith_short_12: 22YLOPWPX5NR · pith_short_16: 22YLOPWPX5NR5SBY · pith_short_8: 22YLOPWP

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/22YLOPWPX5NR5SBYCU7VRELCQO \
  | 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: d6b0b73ecfbf5b1ec838153f589162839871feeef9a6ebcc2af9c91e9e74a335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4a32b2eb5f0d97cf72f9004552f513d105a3454db5170ed5b503e816e1e12a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2002-08-10T08:37:46Z",
    "title_canon_sha256": "07be1dfbd67651ea5956f3dbe283debad286b987606a2e77c77558504f83ea3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208082",
    "kind": "arxiv",
    "version": 1
  }
}