Pith Number

pith:OCCRTCIZ

pith:2012:OCCRTCIZPGYVVE3LZDFTMKYEF6

not attested not anchored not stored refs pending

On Second-order Characterizability

Jouko V\"a\"an\"anen, Kaisa Kangas, Tapani Hyttinen

arxiv:1208.5167 v1 · 2012-08-25 · 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{OCCRTCIZPGYVVE3LZDFTMKYEF6}

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	2026-05-18T03:47:00.243441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708519891979b15a936bc8cb362b042fbed96f0dfd05b52daf06f396fdd8c487

Aliases

arxiv: 1208.5167 · arxiv_version: 1208.5167v1 · doi: 10.48550/arxiv.1208.5167 · pith_short_12: OCCRTCIZPGYV · pith_short_16: OCCRTCIZPGYVVE3L · pith_short_8: OCCRTCIZ

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/OCCRTCIZPGYVVE3LZDFTMKYEF6 \
  | 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: 708519891979b15a936bc8cb362b042fbed96f0dfd05b52daf06f396fdd8c487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478c7a34541c17eca728e37fc5e9480dfb6f55b3f92f0f6276b689acd7fa94f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-25T20:14:53Z",
    "title_canon_sha256": "b533078e02c034199cf44fffd4b7da1275791ebab33593348eabfa72bc511335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5167",
    "kind": "arxiv",
    "version": 1
  }
}