Pith Number

pith:NNQZO35L

pith:2013:NNQZO35LDSZNG45K6LFFUTMZZC

not attested not anchored not stored refs pending

Simultaneous Reducibility of Pairs of Borel Equivalence Relations

Scott Schneider

arxiv:1310.8028 v2 · 2013-10-30 · 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{NNQZO35LDSZNG45K6LFFUTMZZC}

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	2026-05-18T02:42:28.641374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b61976fab1cb2d373aaf2ca5a4d99c88da0f21776d215ce901faa41ca1d183b

Aliases

arxiv: 1310.8028 · arxiv_version: 1310.8028v2 · doi: 10.48550/arxiv.1310.8028 · pith_short_12: NNQZO35LDSZN · pith_short_16: NNQZO35LDSZNG45K · pith_short_8: NNQZO35L

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/NNQZO35LDSZNG45K6LFFUTMZZC \
  | 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: 6b61976fab1cb2d373aaf2ca5a4d99c88da0f21776d215ce901faa41ca1d183b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f077fc295b2a876b94e20bf3a0cccc268f9a8938359f1dabc078ebe10367a8c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-30T05:26:03Z",
    "title_canon_sha256": "435bcd2d0ee14c1a8c219e0883cf23622e0bd259e2f10edfd411245c52b34c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8028",
    "kind": "arxiv",
    "version": 2
  }
}