Pith Number

pith:DAPBFYHZ

pith:1999:DAPBFYHZCMV2ZQ5IQKPLWLK7CI

not attested not anchored not stored refs pending

Quantum Computation and Quadratically Signed Weight Enumerators

E. Knill, R. Laflamme

arxiv:quant-ph/9909094 v1 · 1999-09-30 · quant-ph · 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{DAPBFYHZCMV2ZQ5IQKPLWLK7CI}

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	2026-07-04T14:47:28.527687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

181e12e0f9132bacc3a8829ebb2d5f123221481ede6794e9875d43c57cbeafa6

Aliases

arxiv: quant-ph/9909094 · arxiv_version: quant-ph/9909094v1 · doi: 10.48550/arxiv.quant-ph/9909094 · pith_short_12: DAPBFYHZCMV2 · pith_short_16: DAPBFYHZCMV2ZQ5I · pith_short_8: DAPBFYHZ

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/DAPBFYHZCMV2ZQ5IQKPLWLK7CI \
  | 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: 181e12e0f9132bacc3a8829ebb2d5f123221481ede6794e9875d43c57cbeafa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffb70c7a3451c22382e6679910087e4b4087d429ec68f5037893d70fcf9fd33",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-09-30T22:24:33Z",
    "title_canon_sha256": "961d7bca0cc674957deb8dc899a2d3692eed2a0c227eb7c0557011a07ba22697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9909094",
    "kind": "arxiv",
    "version": 1
  }
}