Pith Number

pith:FIAFNJ5M

pith:2018:FIAFNJ5MQVKDVMBSOGEO5P2MVE

not attested not anchored not stored refs pending

Li-Yorke chaos for ultragraph shift spaces

Bruno Brogni Uggioni, Daniel Gon\c{c}alves

arxiv:1806.07927 v1 · 2018-06-20 · math.DS · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIAFNJ5MQVKDVMBSOGEO5P2MVE}

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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.

Cited by

1 paper in Pith

Irreducible and permutative representations of ultragraph Leavitt path algebras

Receipt and verification

First computed	2026-05-18T00:12:42.594422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0056a7ac85543ab0327188eebf4ca90d601996980800020fc0a2fd81120a86

Aliases

arxiv: 1806.07927 · arxiv_version: 1806.07927v1 · doi: 10.48550/arxiv.1806.07927 · pith_short_12: FIAFNJ5MQVKD · pith_short_16: FIAFNJ5MQVKDVMBS · pith_short_8: FIAFNJ5M

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/FIAFNJ5MQVKDVMBSOGEO5P2MVE \
  | 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: 2a0056a7ac85543ab0327188eebf4ca90d601996980800020fc0a2fd81120a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cacfee195b137a6d06655900fc43eb4dfef82ec3f9c7624f558a3c73b38eb22",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-20T18:56:07Z",
    "title_canon_sha256": "689854eac7cca424d1515ae6af1a233b64cd7e11dcebe22354c659be64076ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07927",
    "kind": "arxiv",
    "version": 1
  }
}