Pith Number

pith:3EKL4RIF

pith:2026:3EKL4RIFRRNTKXPHQSQIUJURBN

not attested not anchored not stored refs pending

Photons in Media: A Second-Quantization Scheme Based on a Dirac-like Equation

Lili Yang, Longlong Feng, Pengming Zhang

arxiv:2606.23016 v1 · 2026-06-22 · 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{3EKL4RIFRRNTKXPHQSQIUJURBN}

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	2026-06-23T03:14:06.840668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d914be45058c5b355de784a08a26910b7d20e179d9997471fbd3155877e13d5f

Aliases

arxiv: 2606.23016 · arxiv_version: 2606.23016v1 · doi: 10.48550/arxiv.2606.23016 · pith_short_12: 3EKL4RIFRRNT · pith_short_16: 3EKL4RIFRRNTKXPH · pith_short_8: 3EKL4RIF

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/3EKL4RIFRRNTKXPHQSQIUJURBN \
  | 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: d914be45058c5b355de784a08a26910b7d20e179d9997471fbd3155877e13d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e404d357823dfd0dba946fd3b09e520fe44e0aff1582a13a5728e4741808e277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-22T08:29:32Z",
    "title_canon_sha256": "2689b6362e3f6b2dc01e4799f2d2aac66d2339cc69ab78f6b58c679454f5ccd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23016",
    "kind": "arxiv",
    "version": 1
  }
}