Pith Number

pith:S2GKHQPQ

pith:2021:S2GKHQPQWKQVYL37JECSXH3AAV

not attested not anchored not stored refs pending

Families of Sets in Bishop Set Theory

Iosif Petrakis

arxiv:2109.04183 v1 · 2021-09-09 · 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{S2GKHQPQWKQVYL37JECSXH3AAV}

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	2026-07-05T03:12:56.038718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968ca3c1f0b2a15c2f7f49052b9f60057f60472682f6c1e22386b33230fa958d

Aliases

arxiv: 2109.04183 · arxiv_version: 2109.04183v1 · doi: 10.48550/arxiv.2109.04183 · pith_short_12: S2GKHQPQWKQV · pith_short_16: S2GKHQPQWKQVYL37 · pith_short_8: S2GKHQPQ

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/S2GKHQPQWKQVYL37JECSXH3AAV \
  | 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: 968ca3c1f0b2a15c2f7f49052b9f60057f60472682f6c1e22386b33230fa958d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff81f9e16e642516aa05d2d1e9c80d23aa44f56601dd134f49bc7a56e54325ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-09-09T11:41:08Z",
    "title_canon_sha256": "65b89d2d080db69aae1fbab2a7b111e2c0aff1557f16027cb9e8837950e24dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04183",
    "kind": "arxiv",
    "version": 1
  }
}