Pith Number

pith:4QGGBDAL

pith:2016:4QGGBDAL5MVHW6RATCJFENMA5Z

not attested not anchored not stored refs pending

Finite-Dimensional Representations constructed from Random Walks

Anna Erschler, Narutaka Ozawa

arxiv:1609.08585 v3 · 2016-09-27 · math.FA · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QGGBDAL5MVHW6RATCJFENMA5Z}

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	2026-05-18T00:31:22.413145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40c608c0beb2a7b7a209892523580ee53c047eda6bcd79bc99b6d179d4d810f

Aliases

arxiv: 1609.08585 · arxiv_version: 1609.08585v3 · doi: 10.48550/arxiv.1609.08585 · pith_short_12: 4QGGBDAL5MVH · pith_short_16: 4QGGBDAL5MVHW6RA · pith_short_8: 4QGGBDAL

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/4QGGBDAL5MVHW6RATCJFENMA5Z \
  | 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: e40c608c0beb2a7b7a209892523580ee53c047eda6bcd79bc99b6d179d4d810f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1725fe471b9e4c1e6eb4b80ba1e83a3279b86a8656f6b6f699172bb1dfe5199",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-27T19:10:30Z",
    "title_canon_sha256": "f011e0fb418a4d49df561c26df792cd14197b5f044eb5cf0618c9cbd5190fdbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08585",
    "kind": "arxiv",
    "version": 3
  }
}