Pith Number

pith:FM4HM74Y

pith:2006:FM4HM74YBTOQT42TIP2ODQWEJL

not attested not anchored not stored refs pending

Quasiprobability methods for multimode conditional optical gates

G.J.Milburn

arxiv:quant-ph/0612040 v1 · 2006-12-05 · 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{FM4HM74YBTOQT42TIP2ODQWEJL}

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	2026-05-18T01:37:53.768713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b38767f980cdd09f35343f4e1c2c44ae49516fcd174c8d41161f982705e3476

Aliases

arxiv: quant-ph/0612040 · arxiv_version: quant-ph/0612040v1 · doi: 10.48550/arxiv.quant-ph/0612040 · pith_short_12: FM4HM74YBTOQ · pith_short_16: FM4HM74YBTOQT42T · pith_short_8: FM4HM74Y

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/FM4HM74YBTOQT42TIP2ODQWEJL \
  | 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: 2b38767f980cdd09f35343f4e1c2c44ae49516fcd174c8d41161f982705e3476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de85b240f99b1c05b4d24b66f4f666e6bde218080c0e62595c888fb526a1ca4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-05T23:53:44Z",
    "title_canon_sha256": "f027874b4ceb0bd5aed67d5fa180ce49f1da849c91e3209f4dc073f1355801df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612040",
    "kind": "arxiv",
    "version": 1
  }
}