Pith Number

pith:JT6Q5D7I

pith:2000:JT6Q5D7IGGNKRH3IO7BD5GJEXQ

not attested not anchored not stored refs pending

Non-local Operations: Purification, storage, compression, tomography, and probabilistic implementation

J. I. Cirac, W. D\"ur

arxiv:quant-ph/0012148 v1 · 2000-12-29 · 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{JT6Q5D7IGGNKRH3IO7BD5GJEXQ}

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	2026-07-04T16:23:06.370802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cfd0e8fe8319aa89f6877c23e9924bc183611c31ef87aa09fa6f7dfd5332ea0

Aliases

arxiv: quant-ph/0012148 · arxiv_version: quant-ph/0012148v1 · doi: 10.48550/arxiv.quant-ph/0012148 · pith_short_12: JT6Q5D7IGGNK · pith_short_16: JT6Q5D7IGGNKRH3I · pith_short_8: JT6Q5D7I

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/JT6Q5D7IGGNKRH3IO7BD5GJEXQ \
  | 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: 4cfd0e8fe8319aa89f6877c23e9924bc183611c31ef87aa09fa6f7dfd5332ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ead770a9cdd8c27242f1205af404cc17be702426e3724a8f768f86bfbf4ff1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-29T13:19:03Z",
    "title_canon_sha256": "d5548e4d40dea7b4b4c3f8a109a4ce9bacf4f4166dee6dbbb758132e30fe2ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0012148",
    "kind": "arxiv",
    "version": 1
  }
}