Pith Number

pith:6DSZQNW7

pith:2018:6DSZQNW77EBUBZXLHRDV75IJPP

not attested not anchored not stored refs pending

A One-Sentence Inverse Image Proof of Lusin's Theorem

Samuel J. Ferguson, Tianqi Wu

arxiv:1810.13240 v1 · 2018-10-27 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DSZQNW77EBUBZXLHRDV75IJPP}

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	2026-05-18T00:01:49.907735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e59836dff90340e6eb3c475ff5097be92fd00bcee3f18885ce58df8eae7987

Aliases

arxiv: 1810.13240 · arxiv_version: 1810.13240v1 · doi: 10.48550/arxiv.1810.13240 · pith_short_12: 6DSZQNW77EBU · pith_short_16: 6DSZQNW77EBUBZXL · pith_short_8: 6DSZQNW7

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/6DSZQNW77EBUBZXLHRDV75IJPP \
  | 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: f0e59836dff90340e6eb3c475ff5097be92fd00bcee3f18885ce58df8eae7987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1c6f2e53919e99ffb3cb5e859c59abe97c678524835962c54b41f4a025f8e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-27T20:35:08Z",
    "title_canon_sha256": "45c0f0a594c7fa99ee4bc82f2e0b4b0f8d77fad8a9977b4d31cf0cd08fc61f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13240",
    "kind": "arxiv",
    "version": 1
  }
}