Pith Number

pith:OD2K7W5E

pith:2025:OD2K7W5EBYE5P4GHSXWJRZ4KNA

not attested not anchored not stored refs pending

Parity-time symmetry phase transition in photonic time-modulated media

Rui-Chuan Zhang, Shu Yang, Yixin Sha, Yi Yang, Zetao Xie

arxiv:2507.03337 v1 · 2025-07-04 · 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{OD2K7W5EBYE5P4GHSXWJRZ4KNA}

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	2026-07-05T11:31:57.388254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f4afdba40e09d7f0c795ec98e78a680d07c639f68f0915675d3107743cca75

Aliases

arxiv: 2507.03337 · arxiv_version: 2507.03337v1 · doi: 10.48550/arxiv.2507.03337 · pith_short_12: OD2K7W5EBYE5 · pith_short_16: OD2K7W5EBYE5P4GH · pith_short_8: OD2K7W5E

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/OD2K7W5EBYE5P4GHSXWJRZ4KNA \
  | 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: 70f4afdba40e09d7f0c795ec98e78a680d07c639f68f0915675d3107743cca75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037abd2e11ca1a2eb176ddd9c1a1ed9e80865b1d2eed2b8c552b7a17fdb1261b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-07-04T06:49:36Z",
    "title_canon_sha256": "f6bc4078a450f2ee5d8e4fe2c60b4d75520a174557ffed8141f66f87e552b56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03337",
    "kind": "arxiv",
    "version": 1
  }
}