Pith Number

pith:AWVDPU2X

pith:2011:AWVDPU2XEB4XMDPDA74PSA7CXB

not attested not anchored not stored refs pending

The hierarchy of omega1-Borel sets

Arnold W. Miller

arxiv:1107.5022 v1 · 2011-07-25 · 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{AWVDPU2XEB4XMDPDA74PSA7CXB}

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	2026-05-18T04:16:53.998422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05aa37d3572079760de307f8f903e2b84e22c65c7a9dc344e8573eb8d49deae4

Aliases

arxiv: 1107.5022 · arxiv_version: 1107.5022v1 · doi: 10.48550/arxiv.1107.5022 · pith_short_12: AWVDPU2XEB4X · pith_short_16: AWVDPU2XEB4XMDPD · pith_short_8: AWVDPU2X

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/AWVDPU2XEB4XMDPDA74PSA7CXB \
  | 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: 05aa37d3572079760de307f8f903e2b84e22c65c7a9dc344e8573eb8d49deae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe423db87da2e02a8386d549f96bf252332606a358a3cd9effb54763bbcd814",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-25T19:14:58Z",
    "title_canon_sha256": "1acdd0a5d9b10bb5f74dc23d9c4c1c2ba476816fef714690395b2bee47c3d1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5022",
    "kind": "arxiv",
    "version": 1
  }
}