Pith Number

pith:C2OKXYR3

pith:2016:C2OKXYR3SWUQY3VXX3WA6OWJDS

not attested not anchored not stored refs pending

The weakest nontrivial idempotent equations

Miroslav Ol\v{s}\'ak

arxiv:1609.00531 v2 · 2016-09-02 · 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{C2OKXYR3SWUQY3VXX3WA6OWJDS}

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	2026-05-18T00:32:44.356043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169cabe23b95a90c6eb7beec0f3ac91c91e5b665dc17001def993ec9e7ee63f2

Aliases

arxiv: 1609.00531 · arxiv_version: 1609.00531v2 · doi: 10.48550/arxiv.1609.00531 · pith_short_12: C2OKXYR3SWUQ · pith_short_16: C2OKXYR3SWUQY3VX · pith_short_8: C2OKXYR3

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/C2OKXYR3SWUQY3VXX3WA6OWJDS \
  | 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: 169cabe23b95a90c6eb7beec0f3ac91c91e5b665dc17001def993ec9e7ee63f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f90fbdffe0832c403758ea848d1db1867d94cedb9cb387e9ad0aa1c85f50ac8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-02T10:13:13Z",
    "title_canon_sha256": "4ce91eada77a48374acbc415a06b71e68bbabe3ed45450c02b41925472a73f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00531",
    "kind": "arxiv",
    "version": 2
  }
}