Pith Number

pith:L3TXYJGL

pith:2011:L3TXYJGLRAKIAHF52D5S23VVF3

not attested not anchored not stored refs pending

The descriptive set-theoretical complexity of the embeddability relation on models of large size

Luca Motto Ros

arxiv:1112.0354 v3 · 2011-12-01 · 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{L3TXYJGLRAKIAHF52D5S23VVF3}

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	2026-05-18T03:19:46.250841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee77c24cb8814801cbdd0fb2d6eb52ef85039c7354a9ddfedf0dead1c1344a0

Aliases

arxiv: 1112.0354 · arxiv_version: 1112.0354v3 · doi: 10.48550/arxiv.1112.0354 · pith_short_12: L3TXYJGLRAKI · pith_short_16: L3TXYJGLRAKIAHF5 · pith_short_8: L3TXYJGL

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/L3TXYJGLRAKIAHF52D5S23VVF3 \
  | 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: 5ee77c24cb8814801cbdd0fb2d6eb52ef85039c7354a9ddfedf0dead1c1344a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a5c8b4a748347a74b97e6962ab521d17fde9eaf4cf698075472d1bd77920ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-01T22:55:49Z",
    "title_canon_sha256": "e1fa517b9d23fa7819808b258d762ebff28b80b0aafd457b61706584ab456da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0354",
    "kind": "arxiv",
    "version": 3
  }
}