Pith Number

pith:A5BIVJJY

pith:2019:A5BIVJJYHPABM25WBP6USXZP5Z

not attested not anchored not stored refs pending

Constructing Wadge classes

Andrea Medini, Rapha\"el Carroy, Sandra M\"uller

arxiv:1907.07612 v2 · 2019-07-12 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5BIVJJYHPABM25WBP6USXZP5Z}

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	2026-07-05T04:06:28.826088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07428aa5383bc0166bb60bfd495f2fee6d913391160ad34c6d51987bfbcf01e4

Aliases

arxiv: 1907.07612 · arxiv_version: 1907.07612v2 · doi: 10.48550/arxiv.1907.07612 · pith_short_12: A5BIVJJYHPAB · pith_short_16: A5BIVJJYHPABM25W · pith_short_8: A5BIVJJY

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/A5BIVJJYHPABM25WBP6USXZP5Z \
  | 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: 07428aa5383bc0166bb60bfd495f2fee6d913391160ad34c6d51987bfbcf01e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a48e0a00da73cc2a6a9779c6f4b01c7bffa33bdbfa2841fba24a09a767add90",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-12T07:15:43Z",
    "title_canon_sha256": "3df3d860e74fd694cf98c3a01cb624365f685acea8ff8ca75d9bc8f51c9a9610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07612",
    "kind": "arxiv",
    "version": 2
  }
}