Pith Number

pith:XCLZ3RMI

pith:2026:XCLZ3RMIXQ2JPGCMJJNUTFFHOU

not attested not anchored not stored refs pending

Time-Reversal Characteristic Modes of Lossy Reciprocal Structures

Chenbo Shi, Jin Pan, Le Zuo, Shichen Liang, Xin Gu

arxiv:2606.11604 v1 · 2026-06-10 · physics.optics · physics.class-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{XCLZ3RMIXQ2JPGCMJJNUTFFHOU}

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	2026-06-11T01:09:58.626787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8979dc588bc3497984c4a5b4994a775087897bfb061e32d3ddff4230655517d

Aliases

arxiv: 2606.11604 · arxiv_version: 2606.11604v1 · doi: 10.48550/arxiv.2606.11604 · pith_short_12: XCLZ3RMIXQ2J · pith_short_16: XCLZ3RMIXQ2JPGCM · pith_short_8: XCLZ3RMI

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/XCLZ3RMIXQ2JPGCMJJNUTFFHOU \
  | 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: b8979dc588bc3497984c4a5b4994a775087897bfb061e32d3ddff4230655517d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34601dfb8b3404173ab0d4ba85e1826002b4a902d3c857e830d23fa499c395f5",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-10T03:03:38Z",
    "title_canon_sha256": "dce2d47eddebd732336c6b5765a11d2f190e793e07c9558656d343d130858691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11604",
    "kind": "arxiv",
    "version": 1
  }
}