Pith Number

pith:BWJA3OBO

pith:2019:BWJA3OBOYK5OHK4UU3OGA5NPHX

not attested not anchored not stored refs pending

Defining Functions on Equivalence Classes

Lawrence C. Paulson

arxiv:1907.07591 v1 · 2019-07-17 · cs.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{BWJA3OBOYK5OHK4UU3OGA5NPHX}

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	2026-05-17T23:40:21.612917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d920db82ec2bae3ab94a6dc6075af3dee99f8f0263d25efd7f70942a4d96d47

Aliases

arxiv: 1907.07591 · arxiv_version: 1907.07591v1 · doi: 10.48550/arxiv.1907.07591 · pith_short_12: BWJA3OBOYK5O · pith_short_16: BWJA3OBOYK5OHK4U · pith_short_8: BWJA3OBO

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/BWJA3OBOYK5OHK4UU3OGA5NPHX \
  | 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: 0d920db82ec2bae3ab94a6dc6075af3dee99f8f0263d25efd7f70942a4d96d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd99fe73de277e5df9d397821cef6aea393c44227d55e7688751089d56c4f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-07-17T15:38:36Z",
    "title_canon_sha256": "1fb04d9f80ac5f9d5e62aa2add5f934ab714e1ef4a579d81d093674f946592e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07591",
    "kind": "arxiv",
    "version": 1
  }
}