Pith Number

pith:42PRNNHK

pith:2011:42PRNNHKVUGCORYZP73VG42OQJ

not attested not anchored not stored refs pending

On the complexity of the relations of isomorphism and bi-embeddability

Luca Motto Ros

arxiv:1112.0349 v1 · 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{42PRNNHKVUGCORYZP73VG42OQJ}

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	2026-05-18T04:07:07.398658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69f16b4eaad0c2747197ff753734e8265d96dd29d9956e7805ecb8139e9ca08

Aliases

arxiv: 1112.0349 · arxiv_version: 1112.0349v1 · doi: 10.48550/arxiv.1112.0349 · pith_short_12: 42PRNNHKVUGC · pith_short_16: 42PRNNHKVUGCORYZ · pith_short_8: 42PRNNHK

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/42PRNNHKVUGCORYZP73VG42OQJ \
  | 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: e69f16b4eaad0c2747197ff753734e8265d96dd29d9956e7805ecb8139e9ca08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb37504147abeca52281c4cca84262c09e3eca49bc8b42201a16c0e20ed6c58d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-01T22:34:45Z",
    "title_canon_sha256": "0452da9ad31d25c12776a1c3064ba3715e5672b98286b2faf2f99f43aa7a67f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0349",
    "kind": "arxiv",
    "version": 1
  }
}