Pith Number

pith:IEWVU5WO

pith:2012:IEWVU5WOQFYLJ6PWKJGWIMB5XZ

not attested not anchored not stored refs pending

Rokhlin dimension and C*-dynamics

Ilan Hirshberg, Joachim Zacharias, Wilhelm Winter

arxiv:1209.1618 v2 · 2012-09-07 · math.OA · 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{IEWVU5WOQFYLJ6PWKJGWIMB5XZ}

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	2026-05-18T02:38:46.389618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412d5a76ce8170b4f9f6524d64303dbe5c2c47e67dc69c94e62027af59682b5a

Aliases

arxiv: 1209.1618 · arxiv_version: 1209.1618v2 · doi: 10.48550/arxiv.1209.1618 · pith_short_12: IEWVU5WOQFYL · pith_short_16: IEWVU5WOQFYLJ6PW · pith_short_8: IEWVU5WO

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/IEWVU5WOQFYLJ6PWKJGWIMB5XZ \
  | 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: 412d5a76ce8170b4f9f6524d64303dbe5c2c47e67dc69c94e62027af59682b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e714fc9b79aa2922906336e07b00eef4363bb2076bd0983db73c46eeb138a9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-07T19:17:07Z",
    "title_canon_sha256": "241c54da21488736d5decea4cdc8ec7e2d3fa09b88bc68c62fedbb32dee23a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1618",
    "kind": "arxiv",
    "version": 2
  }
}