Pith Number

pith:AT7UNLJB

pith:2015:AT7UNLJBTHGXU7TVKYYYJN3F4K

not attested not anchored not stored refs pending

A retrodiction paradox in quantum and classical optics

Andrea Aiello, J. P. Woerdman

arxiv:1506.04831 v3 · 2015-06-16 · quant-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AT7UNLJBTHGXU7TVKYYYJN3F4K}

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	2026-05-18T01:17:33.105549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ff46ad2199cd7a7e75563184b765e2aa6c67b1b4b108274615ff3af7c26c7c

Aliases

arxiv: 1506.04831 · arxiv_version: 1506.04831v3 · doi: 10.48550/arxiv.1506.04831 · pith_short_12: AT7UNLJBTHGX · pith_short_16: AT7UNLJBTHGXU7TV · pith_short_8: AT7UNLJB

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/AT7UNLJBTHGXU7TVKYYYJN3F4K \
  | 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: 04ff46ad2199cd7a7e75563184b765e2aa6c67b1b4b108274615ff3af7c26c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682be6ab0710be85d16e63400b5952a882c336a22ea522e3ac22102798f416ae",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-16T04:27:35Z",
    "title_canon_sha256": "95d72e2d04852972360db461c91239521ad7e2a30ad805dda8f1b78f65bf0ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04831",
    "kind": "arxiv",
    "version": 3
  }
}