Pith Number

pith:4R7JZLIP

pith:2023:4R7JZLIPVNPWYAWQB5N3DOU3XF

not attested not anchored not stored refs pending

A Collapsible Polynomial Hierarchy for Promise Problems

Anand Natarajan, Chirag Falor, Shu Ge

arxiv:2311.12228 v1 · 2023-11-20 · cs.CC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R7JZLIPVNPWYAWQB5N3DOU3XF}

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	2026-07-05T07:15:02.313975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47e9cad0fab5f6c02d00f5bb1ba9bb9586636f57827447574652d098f82a824

Aliases

arxiv: 2311.12228 · arxiv_version: 2311.12228v1 · doi: 10.48550/arxiv.2311.12228 · pith_short_12: 4R7JZLIPVNPW · pith_short_16: 4R7JZLIPVNPWYAWQ · pith_short_8: 4R7JZLIP

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/4R7JZLIPVNPWYAWQB5N3DOU3XF \
  | 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: e47e9cad0fab5f6c02d00f5bb1ba9bb9586636f57827447574652d098f82a824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9736f1f2024e6dffb05719e4b8fc6f628451ef50a4307392ffa2def09ccf479",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2023-11-20T22:56:26Z",
    "title_canon_sha256": "60713647fedc894a6003629132eac3a87f139183cc5b60f0aad568fb91d71e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.12228",
    "kind": "arxiv",
    "version": 1
  }
}