Pith Number

pith:QQUFIPIF

pith:2019:QQUFIPIFA5SQ525D7S6XCRZBT7

not attested not anchored not stored refs pending

Bounds on Scott Ranks of Some Polish Metric Spaces

William Chan

arxiv:1906.04351 v1 · 2019-06-11 · 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{QQUFIPIFA5SQ525D7S6XCRZBT7}

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	2026-05-17T23:43:39.585845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8428543d0507650eeba3fcbd7147219ff1d20fc2540a2ef3689b1edc50ed47ce

Aliases

arxiv: 1906.04351 · arxiv_version: 1906.04351v1 · doi: 10.48550/arxiv.1906.04351 · pith_short_12: QQUFIPIFA5SQ · pith_short_16: QQUFIPIFA5SQ525D · pith_short_8: QQUFIPIF

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/QQUFIPIFA5SQ525D7S6XCRZBT7 \
  | 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: 8428543d0507650eeba3fcbd7147219ff1d20fc2540a2ef3689b1edc50ed47ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e283effb867d05097a60ddb208cc79717c60f0b9ece24921c4ec63041f632f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-06-11T02:10:05Z",
    "title_canon_sha256": "052a496f5e5ed068e7f932fbb430dc71e6e4b83156a6f27a7ed0b605b7f059db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04351",
    "kind": "arxiv",
    "version": 1
  }
}