Pith Number

pith:MY3PMJGW

pith:2010:MY3PMJGWP2LAULHUUFMLPFRLA2

not attested not anchored not stored refs pending

Computably Enumerable Equivalence Relations

Peter Gerdes, Su Gao

arxiv:1012.0944 v1 · 2010-12-04 · 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{MY3PMJGWP2LAULHUUFMLPFRLA2}

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	2026-05-18T04:34:02.074622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6636f624d67e960a2cf4a158b7962b069c06938fcbee4ced0104bbdf8054724c

Aliases

arxiv: 1012.0944 · arxiv_version: 1012.0944v1 · doi: 10.48550/arxiv.1012.0944 · pith_short_12: MY3PMJGWP2LA · pith_short_16: MY3PMJGWP2LAULHU · pith_short_8: MY3PMJGW

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/MY3PMJGWP2LAULHUUFMLPFRLA2 \
  | 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: 6636f624d67e960a2cf4a158b7962b069c06938fcbee4ced0104bbdf8054724c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2743dabe8719ce3e28a6fc7c379c546ad4a985dbff05e8e7d6124b53c7e8e8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-04T20:08:24Z",
    "title_canon_sha256": "118eccdb4d9b399bff3f10eeebd3c65a4fc05d32bb549d7b8564f807b64710e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0944",
    "kind": "arxiv",
    "version": 1
  }
}