Pith Number

pith:2DZBQJV7

pith:2022:2DZBQJV752YYCZM6J5OCCSQDC3

not attested not anchored not stored refs pending

Pre-measure spaces and pre-integration spaces in predicative Bishop-Cheng measure theory

Iosif Petrakis, Max Zeuner

arxiv:2207.08684 v4 · 2022-07-18 · math.LO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DZBQJV752YYCZM6J5OCCSQDC3}

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	2026-07-05T09:17:04.856300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f21826bfeeb181659e4f5c214a0316fff6cd39c29574142808790ee1e0d35c

Aliases

arxiv: 2207.08684 · arxiv_version: 2207.08684v4 · doi: 10.48550/arxiv.2207.08684 · pith_short_12: 2DZBQJV752YY · pith_short_16: 2DZBQJV752YYCZM6 · pith_short_8: 2DZBQJV7

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/2DZBQJV752YYCZM6J5OCCSQDC3 \
  | 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: d0f21826bfeeb181659e4f5c214a0316fff6cd39c29574142808790ee1e0d35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed960572648a06013775bafa821394cd86e3919f2b0340e2c38d29a5d689bfd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-07-18T15:32:35Z",
    "title_canon_sha256": "7e93aed2b976e5957ac26f8ed8bc768f46e5f623220e3b2a0961ed1a3e709a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08684",
    "kind": "arxiv",
    "version": 4
  }
}