Pith Number

pith:6JCWRT4K

pith:2013:6JCWRT4KZLZLXPBGZKO43O2K45

not attested not anchored not stored refs pending

Wadge Hardness in Scott Spaces and Its Effectivization

Serge Grigorieff, Ver\'onica Becher

arxiv:1311.0331 v1 · 2013-11-02 · cs.LO · 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{6JCWRT4KZLZLXPBGZKO43O2K45}

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	2026-05-17T23:53:35.248620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f24568cf8acaf2bbbc26ca9dcdbb4ae77cd2f7ee5ac52e948a337340d73edb53

Aliases

arxiv: 1311.0331 · arxiv_version: 1311.0331v1 · doi: 10.48550/arxiv.1311.0331 · pith_short_12: 6JCWRT4KZLZL · pith_short_16: 6JCWRT4KZLZLXPBG · pith_short_8: 6JCWRT4K

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/6JCWRT4KZLZLXPBGZKO43O2K45 \
  | 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: f24568cf8acaf2bbbc26ca9dcdbb4ae77cd2f7ee5ac52e948a337340d73edb53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02ddb758375a05cc17bd6ee8c84cd14afdba8c872fc077658729f0a4b85f0db",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-11-02T02:50:14Z",
    "title_canon_sha256": "3f9875eb086b535f3bc73a580bf3cd213471648bbc52ab1782e1faca10f9708c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0331",
    "kind": "arxiv",
    "version": 1
  }
}