Pith Number

pith:K7JWEIQ6

pith:2002:K7JWEIQ67JS6QET74Y7N2P3SMO

not attested not anchored not stored refs pending

On the capacities of bipartite Hamiltonians and unitary gates

A. W. Harrow, C. H. Bennett, D. W. Leung, J. A. Smolin

arxiv:quant-ph/0205057 v4 · 2002-05-10 · 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{K7JWEIQ67JS6QET74Y7N2P3SMO}

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	2026-05-18T00:58:04.917043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d362221efa65e8127fe63edd3f7263aa98cd1d3822cd3bcb4918aa40dd19b0

Aliases

arxiv: quant-ph/0205057 · arxiv_version: quant-ph/0205057v4 · doi: 10.48550/arxiv.quant-ph/0205057 · pith_short_12: K7JWEIQ67JS6 · pith_short_16: K7JWEIQ67JS6QET7 · pith_short_8: K7JWEIQ6

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/K7JWEIQ67JS6QET74Y7N2P3SMO \
  | 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: 57d362221efa65e8127fe63edd3f7263aa98cd1d3822cd3bcb4918aa40dd19b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d1286d2cddfb73fced55a5ce51231a322042acc3fda752d7511ad759eda22a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-05-10T19:12:05Z",
    "title_canon_sha256": "956d7eb1439bf03caaf7f838b5e0a6d50f961f3be431c21ccd04374f7f3d0050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0205057",
    "kind": "arxiv",
    "version": 4
  }
}