Pith Number

pith:A2YYYTWZ

pith:2016:A2YYYTWZIE46MMQOS3MV55HSYF

not attested not anchored not stored refs pending

The finite representation property fails for composition and intersection

Roger D. Maddux

arxiv:1604.01386 v1 · 2016-04-05 · 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{A2YYYTWZIE46MMQOS3MV55HSYF}

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	2026-05-18T01:17:38.321556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b18c4ed94139e6320e96d95ef4f2c164bcb443aeea7b31e732883b1a756b45

Aliases

arxiv: 1604.01386 · arxiv_version: 1604.01386v1 · doi: 10.48550/arxiv.1604.01386 · pith_short_12: A2YYYTWZIE46 · pith_short_16: A2YYYTWZIE46MMQO · pith_short_8: A2YYYTWZ

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/A2YYYTWZIE46MMQOS3MV55HSYF \
  | 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: 06b18c4ed94139e6320e96d95ef4f2c164bcb443aeea7b31e732883b1a756b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ba46e5dcff6767ca3cd0853ccb2244369bed43a6b1cb13d66ef6fcc129b1f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-04-05T19:52:33Z",
    "title_canon_sha256": "f3490744cfe9cfc0d4478c9a41f9fdc100fedf711e1cfdc28048f8a3d8d0c5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01386",
    "kind": "arxiv",
    "version": 1
  }
}