Pith Number

pith:FCWGSEW7

pith:2014:FCWGSEW7PI6N4F445WEL4CXF5S

not attested not anchored not stored refs pending

Determinacy of Refinements to the Difference Hierarchy of Co-analytic Sets

Chris Le Sueur

arxiv:1411.1106 v2 · 2014-11-04 · 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{FCWGSEW7PI6N4F445WEL4CXF5S}

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	2026-05-18T00:32:21.817432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ac6912df7a3cde179ced88be0ae5ec968b50183ff63a21c30a15b7e6e7266d

Aliases

arxiv: 1411.1106 · arxiv_version: 1411.1106v2 · doi: 10.48550/arxiv.1411.1106 · pith_short_12: FCWGSEW7PI6N · pith_short_16: FCWGSEW7PI6N4F44 · pith_short_8: FCWGSEW7

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/FCWGSEW7PI6N4F445WEL4CXF5S \
  | 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: 28ac6912df7a3cde179ced88be0ae5ec968b50183ff63a21c30a15b7e6e7266d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399e52490a8b38e9f7a7603a3e02896408e9e2338da1a83d82af6665972b1ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-04T23:02:16Z",
    "title_canon_sha256": "5a1737e4b4b27e41cfada62b0cf93141194837dbdd21e8cb1c841a032e9fbc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1106",
    "kind": "arxiv",
    "version": 2
  }
}