Pith Number

pith:4Z3EZJPZ

pith:2017:4Z3EZJPZGHFQXOWJJS2UPDWXC6

not attested not anchored not stored refs pending

Why a hole is like a beam splitter--a general diffraction theory for multimode quantum states of light

Eugeniy E. Mikhailov, Irina Novikova, Jonathan P. Dowling, Mi Zhang, R. Nicholas Lanning, Zhihao Xiao

arxiv:1703.03818 v1 · 2017-03-10 · 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{4Z3EZJPZGHFQXOWJJS2UPDWXC6}

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	2026-05-18T00:37:34.189689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6764ca5f931cb0bbac94cb5478ed717a86015759c8884bce515d7e6d287be7e

Aliases

arxiv: 1703.03818 · arxiv_version: 1703.03818v1 · doi: 10.48550/arxiv.1703.03818 · pith_short_12: 4Z3EZJPZGHFQ · pith_short_16: 4Z3EZJPZGHFQXOWJ · pith_short_8: 4Z3EZJPZ

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/4Z3EZJPZGHFQXOWJJS2UPDWXC6 \
  | 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: e6764ca5f931cb0bbac94cb5478ed717a86015759c8884bce515d7e6d287be7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea3e49abc22cac5d95534eb6d7eb0e65d7cbff4d9b892f8d1836b0c68586ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-03-10T19:01:36Z",
    "title_canon_sha256": "6f4d433987c2785c60d79d14ed65bbd9783a7599dfced2f128cc4cb62db815aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03818",
    "kind": "arxiv",
    "version": 1
  }
}