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Pith Number

pith:7JW3VF2H

pith:1995:7JW3VF2HMYPKYGRGO5TCXCBQIX
not attested not anchored not stored refs pending

Approximation by Quantum Circuits

E. Knill

arxiv:quant-ph/9508006 v1 · 1995-08-08 · quant-ph · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7JW3VF2HMYPKYGRGO5TCXCBQIX}

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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.

Cited by

8 papers in Pith

Receipt and verification
First computed 2026-07-04T15:09:12.060720Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa6dba9747661eac1a2677662b883045c77ffcf7ddb06e4bd32c517f13340d3b

Aliases

arxiv: quant-ph/9508006 · arxiv_version: quant-ph/9508006v1 · doi: 10.48550/arxiv.quant-ph/9508006 · pith_short_12: 7JW3VF2HMYPK · pith_short_16: 7JW3VF2HMYPKYGRG · pith_short_8: 7JW3VF2H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7JW3VF2HMYPKYGRGO5TCXCBQIX \
  | 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: fa6dba9747661eac1a2677662b883045c77ffcf7ddb06e4bd32c517f13340d3b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "71f9428a32e16fc20ea18ebb2f02d49db87899bf1a762e4d27e42f226a55e731",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-08-08T23:23:12Z",
    "title_canon_sha256": "33e4cd12131b57eb29eeca03ea9153c765171d8148b4f69b1b542089819e73bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9508006",
    "kind": "arxiv",
    "version": 1
  }
}