Pith Number

pith:4ZCA4NRI

pith:2016:4ZCA4NRILJH75SO6E7DQZHC5A4

not attested not anchored not stored refs pending

Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays

C. Koke, C. Noh, D. G. Angelakis

arxiv:1607.04821 v3 · 2016-07-17 · quant-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZCA4NRILJH75SO6E7DQZHC5A4}

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	2026-05-18T00:44:24.565799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6440e36285a4ffec9de27c70c9c5d073263f35a76cd8bd06c0907f5269c5102

Aliases

arxiv: 1607.04821 · arxiv_version: 1607.04821v3 · doi: 10.48550/arxiv.1607.04821 · pith_short_12: 4ZCA4NRILJH7 · pith_short_16: 4ZCA4NRILJH75SO6 · pith_short_8: 4ZCA4NRI

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/4ZCA4NRILJH75SO6E7DQZHC5A4 \
  | 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: e6440e36285a4ffec9de27c70c9c5d073263f35a76cd8bd06c0907f5269c5102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72bd83e560e99518d74973892d8940395af108d036c7d11a8321afd39fcd1277",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-17T02:46:56Z",
    "title_canon_sha256": "f3b7d55aec9b31eb875a300ffaf9cf75b47f1742602d1350eabe17361467df0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04821",
    "kind": "arxiv",
    "version": 3
  }
}