Pith Number

pith:LORLBXHB

pith:2019:LORLBXHBTPGDTUS2QQVO332OSJ

not attested not anchored not stored refs pending

Rediscovered theorem of Luzin

Marcin Michalski

arxiv:1907.09305 v1 · 2019-07-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LORLBXHBTPGDTUS2QQVO332OSJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:39:59.547080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba2b0dce19bcc39d25a842aedef4e925c1c2a14d924a7cc13cb26da0cb18178

Aliases

arxiv: 1907.09305 · arxiv_version: 1907.09305v1 · doi: 10.48550/arxiv.1907.09305 · pith_short_12: LORLBXHBTPGD · pith_short_16: LORLBXHBTPGDTUS2 · pith_short_8: LORLBXHB

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/LORLBXHBTPGDTUS2QQVO332OSJ \
  | 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: 5ba2b0dce19bcc39d25a842aedef4e925c1c2a14d924a7cc13cb26da0cb18178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884818793b66835378b80b85979f60afa9200679ad68f76904ae8ffe0477c0ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-18T23:09:57Z",
    "title_canon_sha256": "0c89d2bb4e7db79173236ec94a7c55eb98c749f423cdf9caaa950d6a206d961e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09305",
    "kind": "arxiv",
    "version": 1
  }
}