Pith Number

pith:M4SISPDL

pith:2013:M4SISPDL4CILZG3JDWENH6MVON

not attested not anchored not stored refs pending

Regularization of the spectral singularity in $\mathcal{PT}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation

G.S. Agarwal, Subhasish Dutta Gupta, Xuele Liu

arxiv:1310.8282 v1 · 2013-10-30 · 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{M4SISPDL4CILZG3JDWENH6MVON}

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	2026-05-18T01:46:40.895233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6724893c6be090bc9b691d88d3f9957344f41e15a34b28b8a56127d946505ced

Aliases

arxiv: 1310.8282 · arxiv_version: 1310.8282v1 · doi: 10.48550/arxiv.1310.8282 · pith_short_12: M4SISPDL4CIL · pith_short_16: M4SISPDL4CILZG3J · pith_short_8: M4SISPDL

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/M4SISPDL4CILZG3JDWENH6MVON \
  | 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: 6724893c6be090bc9b691d88d3f9957344f41e15a34b28b8a56127d946505ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327c71135ca1622a2a1412cd82c085aea7817c8e4b179014cae6b22ebfcb1044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-10-30T19:44:19Z",
    "title_canon_sha256": "fcd3d426f1628cc941296992b884ff8ece95ea1d7961d0cc6484da45fb2cf3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8282",
    "kind": "arxiv",
    "version": 1
  }
}