Pith Number

pith:Z4I74N6V

pith:2015:Z4I74N6VZ2H7XVJPMMGUGZ3WDN

not attested not anchored not stored refs pending

Additivity of the ideal of microscopic sets

Adam Kwela

arxiv:1505.06756 v1 · 2015-05-25 · 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{Z4I74N6VZ2H7XVJPMMGUGZ3WDN}

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	2026-05-18T00:34:31.943448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf11fe37d5ce8ffbd52f630d4367761b48b750c425ed97f35b300edfc9e0c226

Aliases

arxiv: 1505.06756 · arxiv_version: 1505.06756v1 · doi: 10.48550/arxiv.1505.06756 · pith_short_12: Z4I74N6VZ2H7 · pith_short_16: Z4I74N6VZ2H7XVJP · pith_short_8: Z4I74N6V

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/Z4I74N6VZ2H7XVJPMMGUGZ3WDN \
  | 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: cf11fe37d5ce8ffbd52f630d4367761b48b750c425ed97f35b300edfc9e0c226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c12e48c58c28c6f5a99c41aab044f7f4a6bbf4753036a6541d60f2447f4ec03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-05-25T20:56:30Z",
    "title_canon_sha256": "cacd35ce4071e2078f6b7bae5719abf811a09c71723a028b10592868b2c2d992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06756",
    "kind": "arxiv",
    "version": 1
  }
}