Pith Number

pith:DJ5GIOVS

pith:2015:DJ5GIOVSPXSMYGH7UXVBHCYI2P

not attested not anchored not stored refs pending

Remark 3.4 A Dedekind Finite Borel Set

Arnold W. Miller

arxiv:1509.08947 v1 · 2015-09-29 · 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{DJ5GIOVSPXSMYGH7UXVBHCYI2P}

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	2026-05-18T01:31:29.418081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7a643ab27de4cc18ffa5ea138b08d3dac11d06fe65d0c91937b47470348506

Aliases

arxiv: 1509.08947 · arxiv_version: 1509.08947v1 · doi: 10.48550/arxiv.1509.08947 · pith_short_12: DJ5GIOVSPXSM · pith_short_16: DJ5GIOVSPXSMYGH7 · pith_short_8: DJ5GIOVS

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/DJ5GIOVSPXSMYGH7UXVBHCYI2P \
  | 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: 1a7a643ab27de4cc18ffa5ea138b08d3dac11d06fe65d0c91937b47470348506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495f0e4335dde789a974cb1b31c9bd48f29dd66d721ac84d23978d5d0fd7916d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-29T20:43:32Z",
    "title_canon_sha256": "acc266e182165d53137690987f3c36f9324729c887357da4bfa2be54dea960a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08947",
    "kind": "arxiv",
    "version": 1
  }
}