Pith Number

pith:CIWHAVVS

pith:2012:CIWHAVVSDNZR23HM3YBAKJMTVS

not attested not anchored not stored refs pending

An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version)

Paolo Parisen Toldin, Ugo Dal Lago

arxiv:1202.3317 v1 · 2012-02-15 · cs.LO · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIWHAVVSDNZR23HM3YBAKJMTVS}

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	2026-05-18T04:02:14.154890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122c7056b21b731d6cecde02052593acb761164256336065b9d1f90f224d6618

Aliases

arxiv: 1202.3317 · arxiv_version: 1202.3317v1 · doi: 10.48550/arxiv.1202.3317 · pith_short_12: CIWHAVVSDNZR · pith_short_16: CIWHAVVSDNZR23HM · pith_short_8: CIWHAVVS

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/CIWHAVVSDNZR23HM3YBAKJMTVS \
  | 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: 122c7056b21b731d6cecde02052593acb761164256336065b9d1f90f224d6618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08df45228c82aa9df04a9a2f64ec84028eb0eedfd4cdc23bc583a9dce168bd6d",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-02-15T14:21:42Z",
    "title_canon_sha256": "ff397c945203603bdaed9147dc1a3f31f0922ad7c47be9ff6f10bda8b44baa81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3317",
    "kind": "arxiv",
    "version": 1
  }
}