Pith Number

pith:2ELGNGQO

pith:2010:2ELGNGQORYI3WU7IRGZV5G7WMP

not attested not anchored not stored refs pending

Finite Rank Bratteli Diagrams: Structure of Invariant Measures

Boris Solomyak, Jan Kwiatkowski, Konstantin Medynets, Sergey Bezuglyi

arxiv:1003.2816 v5 · 2010-03-14 · 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{2ELGNGQORYI3WU7IRGZV5G7WMP}

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	2026-05-18T02:24:37.272361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d116669a0e8e11bb53e889b35e9bf663ccf2c245764a2a24623876f3a178bb61

Aliases

arxiv: 1003.2816 · arxiv_version: 1003.2816v5 · doi: 10.48550/arxiv.1003.2816 · pith_short_12: 2ELGNGQORYI3 · pith_short_16: 2ELGNGQORYI3WU7I · pith_short_8: 2ELGNGQO

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/2ELGNGQORYI3WU7IRGZV5G7WMP \
  | 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: d116669a0e8e11bb53e889b35e9bf663ccf2c245764a2a24623876f3a178bb61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09280e318c842ef4b96a9a284dc355dd36fa92e8e859ae2f61d66cfcf5abd28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-03-14T20:59:04Z",
    "title_canon_sha256": "d8d63fd4bda0e4dda3f6a3a6887e1072f65f9f669e0b8f968dd9fb949df21d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2816",
    "kind": "arxiv",
    "version": 5
  }
}