Pith Number

pith:TYKW2M3A

pith:2006:TYKW2M3AEPM3MQK5NH6AUUPX6P

not attested not anchored not stored refs pending

The geometry of quantum computation

Mark R. Dowling, Michael A. Nielsen

arxiv:quant-ph/0701004 v1 · 2006-12-31 · 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{TYKW2M3AEPM3MQK5NH6AUUPX6P}

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.

Cited by

11 papers in Pith

The Geometry of Quantum Complexity in Open Systems

Controlled Chaos in 4D SCFTs

Nielsen complexity with multiple cost factors

Holographic complexity of the Klebanov-Strassler background

Universal Euler-Cartan Circuits for Quantum Field Theories

Receipt and verification

First computed	2026-07-04T14:58:21.042373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e156d336023d9b6415d69fc0a51f7f3c1854cd849eb6f7eefefc2b9bfeb4799

Aliases

arxiv: quant-ph/0701004 · arxiv_version: quant-ph/0701004v1 · doi: 10.48550/arxiv.quant-ph/0701004 · pith_short_12: TYKW2M3AEPM3 · pith_short_16: TYKW2M3AEPM3MQK5 · pith_short_8: TYKW2M3A

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/TYKW2M3AEPM3MQK5NH6AUUPX6P \
  | 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: 9e156d336023d9b6415d69fc0a51f7f3c1854cd849eb6f7eefefc2b9bfeb4799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8218edce3bb76abdc98f327ffd2532a57e637872638226ade17c01fbfe397820",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-31T05:17:13Z",
    "title_canon_sha256": "7e586f5b7dd17012b166e74e45fc02199004a62b0758d8b7f4d6d0f256d585c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701004",
    "kind": "arxiv",
    "version": 1
  }
}