Pith Number

pith:FCHQC5HG

pith:2019:FCHQC5HGX33KKG5MBOEDUOAZOD

not attested not anchored not stored refs pending

Quantum Approximate Counting, Simplified

Patrick Rall, Scott Aaronson

arxiv:1908.10846 v6 · 2019-08-28 · quant-ph · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCHQC5HGX33KKG5MBOEDUOAZOD}

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	2026-07-05T03:28:57.644594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288f0174e6bef6a51bac0b883a381970d1bfc30ae45e3a1a48b78ca240635092

Aliases

arxiv: 1908.10846 · arxiv_version: 1908.10846v6 · doi: 10.48550/arxiv.1908.10846 · pith_short_12: FCHQC5HGX33K · pith_short_16: FCHQC5HGX33KKG5M · pith_short_8: FCHQC5HG

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/FCHQC5HGX33KKG5MBOEDUOAZOD \
  | 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: 288f0174e6bef6a51bac0b883a381970d1bfc30ae45e3a1a48b78ca240635092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba0156bcdf1a37badba699da6428d23c0c18ebb7a5e39afdf202073a4f2880f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-28T17:34:40Z",
    "title_canon_sha256": "c86e2160157d1d2ef64903f7a24e39f9b6b1f14d39f6621412706bb0863d191c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10846",
    "kind": "arxiv",
    "version": 6
  }
}