Pith Number

pith:RTOUNTVM

pith:2013:RTOUNTVMPAP62QUS2VYRSQCWAS

not attested not anchored not stored refs pending

The Promise Polynomial Hierarchy

Adam Chalcraft, David Petrie Moulton, Samuel Kutin

arxiv:1305.5561 v2 · 2013-05-23 · 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{RTOUNTVMPAP62QUS2VYRSQCWAS}

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	2026-05-18T03:17:14.247285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cdd46ceac781fed4292d571194056048bcf751804fd13be270f28ef433805a4

Aliases

arxiv: 1305.5561 · arxiv_version: 1305.5561v2 · doi: 10.48550/arxiv.1305.5561 · pith_short_12: RTOUNTVMPAP6 · pith_short_16: RTOUNTVMPAP62QUS · pith_short_8: RTOUNTVM

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/RTOUNTVMPAP62QUS2VYRSQCWAS \
  | 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: 8cdd46ceac781fed4292d571194056048bcf751804fd13be270f28ef433805a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4767acf20371e5023767db95cfd7856778c7473b3107d15f4cd108ca8826c4e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-23T20:37:31Z",
    "title_canon_sha256": "5772e8035643fafdf4ff3158c47b04401ce050b048986a1d31b0ebb8003a14f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5561",
    "kind": "arxiv",
    "version": 2
  }
}