Pith Number

pith:LOJ4AXSY

pith:2012:LOJ4AXSYKIA75GXE7B6TDBLQO5

not attested not anchored not stored refs pending

What is the real category of sets?

Samuele Maschio

arxiv:1212.3107 v1 · 2012-12-13 · 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{LOJ4AXSYKIA75GXE7B6TDBLQO5}

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	2026-05-18T03:38:33.748889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b93c05e585201fe9ae4f87d3185707766e3ac755d23c9c65ea89a8a75d0df94

Aliases

arxiv: 1212.3107 · arxiv_version: 1212.3107v1 · doi: 10.48550/arxiv.1212.3107 · pith_short_12: LOJ4AXSYKIA7 · pith_short_16: LOJ4AXSYKIA75GXE · pith_short_8: LOJ4AXSY

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/LOJ4AXSYKIA75GXE7B6TDBLQO5 \
  | 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: 5b93c05e585201fe9ae4f87d3185707766e3ac755d23c9c65ea89a8a75d0df94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25aa52348ab8c49f445774b7ef6e9093b7133f4add2c2f6a735529e045245bdb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-13T10:08:19Z",
    "title_canon_sha256": "c3300915bd578b183cb8dda6fbaac6953873f965008b2e92c8bb522b8228017f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3107",
    "kind": "arxiv",
    "version": 1
  }
}