Pith Number

pith:74NDR5JE

pith:2022:74NDR5JESE63HQXEFMSN72OEK7

not attested not anchored not stored refs pending

Sets completely separated by functions in Bishop Set Theory

Iosif Petrakis

arxiv:2208.07826 v1 · 2022-08-16 · 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{74NDR5JESE63HQXEFMSN72OEK7}

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	2026-07-05T04:49:09.505297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1a38f524913db3c2e42b24dfe9c457ce75ebea8dd89eee9ffed424e9fcf305

Aliases

arxiv: 2208.07826 · arxiv_version: 2208.07826v1 · doi: 10.48550/arxiv.2208.07826 · pith_short_12: 74NDR5JESE63 · pith_short_16: 74NDR5JESE63HQXE · pith_short_8: 74NDR5JE

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/74NDR5JESE63HQXEFMSN72OEK7 \
  | 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: ff1a38f524913db3c2e42b24dfe9c457ce75ebea8dd89eee9ffed424e9fcf305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6735348f35e5254197d521e7048c3f74c9ca94edfa2e7aff2770c5657cac1976",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-08-16T16:12:20Z",
    "title_canon_sha256": "57d7d82994be8594747208671468cd57a886d8e62977f2d3fe13881f11b75ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.07826",
    "kind": "arxiv",
    "version": 1
  }
}