Pith Number

pith:U2ZXNMH4

pith:2019:U2ZXNMH4UY7SA3ZI5Q4CALQ5IV

not attested not anchored not stored refs pending

Limit Learning Equivalence Structures

Ekaterina Fokina, Luca San Mauro, Timo K\"otzing

arxiv:1902.08006 v1 · 2019-02-21 · 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{U2ZXNMH4UY7SA3ZI5Q4CALQ5IV}

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	2026-05-17T23:53:02.451085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b376b0fca63f206f28ec38202e1d456691b8ce03848e86da2fba0bec9116b3

Aliases

arxiv: 1902.08006 · arxiv_version: 1902.08006v1 · doi: 10.48550/arxiv.1902.08006 · pith_short_12: U2ZXNMH4UY7S · pith_short_16: U2ZXNMH4UY7SA3ZI · pith_short_8: U2ZXNMH4

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/U2ZXNMH4UY7SA3ZI5Q4CALQ5IV \
  | 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: a6b376b0fca63f206f28ec38202e1d456691b8ce03848e86da2fba0bec9116b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6eb65f66af2cb93123e97c7ae18cb762cc89b127f43bead4c72963325e48d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-02-21T12:44:25Z",
    "title_canon_sha256": "6586b6184e3e8107b5650272ed3c7af32bd906a87f4d3b74b7cbb93ecea10bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08006",
    "kind": "arxiv",
    "version": 1
  }
}