Pith Number

pith:TKW6QHZF

pith:2023:TKW6QHZFSVHAAB4QZD426URLMP

not attested not anchored not stored refs pending

A classification of the Wadge hierarchies on zero-dimensional Polish spaces

Luca Motto Ros, Rapha\"el Carroy, Salvatore Scamperti

arxiv:2302.01319 v2 · 2023-02-02 · math.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{TKW6QHZFSVHAAB4QZD426URLMP}

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	2026-07-05T06:10:29.714506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aade81f25954e000790c8f9af522b63d1129eab79049ff68fb36b44d316915c

Aliases

arxiv: 2302.01319 · arxiv_version: 2302.01319v2 · doi: 10.48550/arxiv.2302.01319 · pith_short_12: TKW6QHZFSVHA · pith_short_16: TKW6QHZFSVHAAB4Q · pith_short_8: TKW6QHZF

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/TKW6QHZFSVHAAB4QZD426URLMP \
  | 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: 9aade81f25954e000790c8f9af522b63d1129eab79049ff68fb36b44d316915c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05211bdaf13ffc84662df17f45729da2ef9b92f92867dcfd49c68a70d169187",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-02-02T18:45:30Z",
    "title_canon_sha256": "b502cc96d0ea92ea90fdef2308b12d5cd00924473865aa403b862676b33e009d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01319",
    "kind": "arxiv",
    "version": 2
  }
}