Pith Number

pith:NEJEQFZ2

pith:2001:NEJEQFZ2TXT2VKWXXHI2YLMTX3

not attested not anchored not stored refs pending

Entangled-photon Fourier optics

Alexander V. Sergienko, Ayman F. Abouraddy, Bahaa E. A. Saleh, Malvin C. Teich

arxiv:quant-ph/0111054 v1 · 2001-11-08 · 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{NEJEQFZ2TXT2VKWXXHI2YLMTX3}

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	2026-05-18T01:38:02.367865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

691248173a9de7aaaad7b9d1ac2d93bee9c97304b424565cc935e2654906e926

Aliases

arxiv: quant-ph/0111054 · arxiv_version: quant-ph/0111054v1 · doi: 10.48550/arxiv.quant-ph/0111054 · pith_short_12: NEJEQFZ2TXT2 · pith_short_16: NEJEQFZ2TXT2VKWX · pith_short_8: NEJEQFZ2

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/NEJEQFZ2TXT2VKWXXHI2YLMTX3 \
  | 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: 691248173a9de7aaaad7b9d1ac2d93bee9c97304b424565cc935e2654906e926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2b6815fefc5ef0fc8d2d69df01a8b48c0a2b6cdaf6399f7700be765ae72b3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-11-08T18:52:38Z",
    "title_canon_sha256": "55211b7bac18870aa80fbb7eb8519e6503c9f8aa6c623b524416d32be96f9dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0111054",
    "kind": "arxiv",
    "version": 1
  }
}