Pith Number

pith:7P4T4BB2

pith:2015:7P4T4BB2G5EFV4FP5GCFRPOHZ5

not attested not anchored not stored refs pending

Linear optics only allows every possible quantum operation for one photon or one port

Juan Carlos Garcia-Escartin, Julio Jos\'e Moyano-Fern\'andez

arxiv:1508.04342 v2 · 2015-08-18 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7P4T4BB2G5EFV4FP5GCFRPOHZ5}

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	2026-05-18T01:08:26.450383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c

Aliases

arxiv: 1508.04342 · arxiv_version: 1508.04342v2 · doi: 10.48550/arxiv.1508.04342 · pith_short_12: 7P4T4BB2G5EF · pith_short_16: 7P4T4BB2G5EFV4FP · pith_short_8: 7P4T4BB2

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/7P4T4BB2G5EFV4FP5GCFRPOHZ5 \
  | 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: fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbb8abf42c5ed90621282dcd168aa9c0bd5871ae8a8eed7d96907ec53641f51",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-08-18T15:07:28Z",
    "title_canon_sha256": "295cb919a65196704e01a397ba27336531ccb222cb44e002cfe9c6e24a524eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04342",
    "kind": "arxiv",
    "version": 2
  }
}