Pith Number

pith:FFLCWKCU

pith:2016:FFLCWKCUK3JQWUZQDHSPSUKVMR

not attested not anchored not stored refs pending

When an Equivalence Relation with All Borel Classes will be Borel Somewhere?

Menachem Magidor, William Chan

arxiv:1608.04913 v1 · 2016-08-17 · 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{FFLCWKCUK3JQWUZQDHSPSUKVMR}

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	2026-05-18T01:08:33.271884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29562b285456d30b533019e4f95155647f165f9b5fb606f4bced35df01a0835b

Aliases

arxiv: 1608.04913 · arxiv_version: 1608.04913v1 · doi: 10.48550/arxiv.1608.04913 · pith_short_12: FFLCWKCUK3JQ · pith_short_16: FFLCWKCUK3JQWUZQ · pith_short_8: FFLCWKCU

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/FFLCWKCUK3JQWUZQDHSPSUKVMR \
  | 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: 29562b285456d30b533019e4f95155647f165f9b5fb606f4bced35df01a0835b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4c31e291836b46b996c18f8ac086d5a530e98bd245eded1ba22e7c030dfbf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-08-17T10:02:45Z",
    "title_canon_sha256": "37ef94dd218987fc4b81d507a4de47f92b6b34ce5a66243142c56d284cf2aecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04913",
    "kind": "arxiv",
    "version": 1
  }
}