Pith Number

pith:YUKOZ3QR

pith:2026:YUKOZ3QRL5JQIPJRVLIIPT7QBR

not attested not anchored not stored refs pending

Observers, Symmetries, and the Hierarchy of Language Classes: A Theory of Computation Parameterized by the Observer

Fabio F.G. Buono

arxiv:2606.27407 v1 · 2026-06-25 · cs.FL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUKOZ3QRL5JQIPJRVLIIPT7QBR}

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	2026-06-29T00:14:05.012370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c514ecee115f53043d31aad087cff00c467c18004ca561f95100f1c2595c84bd

Aliases

arxiv: 2606.27407 · arxiv_version: 2606.27407v1 · doi: 10.48550/arxiv.2606.27407 · pith_short_12: YUKOZ3QRL5JQ · pith_short_16: YUKOZ3QRL5JQIPJR · pith_short_8: YUKOZ3QR

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/YUKOZ3QRL5JQIPJRVLIIPT7QBR \
  | 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: c514ecee115f53043d31aad087cff00c467c18004ca561f95100f1c2595c84bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332744ed4bb0192da76bc11187785ba8864d802ee83d2a082cbc18b018eac81f",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2026-06-25T08:34:09Z",
    "title_canon_sha256": "f350e47c605e65c775c130717870fba842d26c101f728ac1cbfa35c0c73f1096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27407",
    "kind": "arxiv",
    "version": 1
  }
}