Pith Number

pith:FIIKYG3M

pith:2018:FIIKYG3MACRVEQWCMHQ536WAV6

not attested not anchored not stored refs pending

The Koopman representation and positive Rokhlin entropy

Brandon Seward

arxiv:1804.05270 v1 · 2018-04-14 · 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{FIIKYG3MACRVEQWCMHQ536WAV6}

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	2026-05-18T00:18:28.446071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a10ac1b6c00a35242c261e1ddfac0af8350f08fbe59c4e8eed7e14424f4f63b

Aliases

arxiv: 1804.05270 · arxiv_version: 1804.05270v1 · doi: 10.48550/arxiv.1804.05270 · pith_short_12: FIIKYG3MACRV · pith_short_16: FIIKYG3MACRVEQWC · pith_short_8: FIIKYG3M

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/FIIKYG3MACRVEQWCMHQ536WAV6 \
  | 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: 2a10ac1b6c00a35242c261e1ddfac0af8350f08fbe59c4e8eed7e14424f4f63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7c934684340a17f6d3bfce89bce8657d8737b067a65f4a79211183da39fedc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-14T20:01:51Z",
    "title_canon_sha256": "620a1b60bada530ef9809c5fa8a88397ca392feb29d2a63376793b4b11e7ad50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05270",
    "kind": "arxiv",
    "version": 1
  }
}