Pith Number

pith:XDZ4G6FP

pith:2010:XDZ4G6FPYTRKP2J5BGWIFW5SU4

not attested not anchored not stored refs pending

Quantum Defragmentation Algorithm

Daniel Burgarth, Vittorio Giovannetti

arxiv:1006.4107 v1 · 2010-06-21 · 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{XDZ4G6FPYTRKP2J5BGWIFW5SU4}

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	2026-05-18T04:41:16.107606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f3c378afc4e2a7e93d09ac82dbb2a72ca6158c942ae0b6f56b3c51a9e84c4c

Aliases

arxiv: 1006.4107 · arxiv_version: 1006.4107v1 · doi: 10.48550/arxiv.1006.4107 · pith_short_12: XDZ4G6FPYTRK · pith_short_16: XDZ4G6FPYTRKP2J5 · pith_short_8: XDZ4G6FP

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/XDZ4G6FPYTRKP2J5BGWIFW5SU4 \
  | 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: b8f3c378afc4e2a7e93d09ac82dbb2a72ca6158c942ae0b6f56b3c51a9e84c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e4c95382e3350335657cd712f536d6259dd134016d70bf6a0fb1b1bd375205",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-21T16:12:56Z",
    "title_canon_sha256": "2a0e4225e0c2aab24db58ac6fac47b9765e568d67211edcd20ead2285f8d7e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4107",
    "kind": "arxiv",
    "version": 1
  }
}