Pith Number

pith:T2SBJZCX

pith:2013:T2SBJZCX5STNYAYRLRPILOJCCN

not attested not anchored not stored refs pending

Nonlinear Spectral Singularities and Lasing Threshold Condition

Ali Mostafazadeh

arxiv:1303.4874 v1 · 2013-03-20 · quant-ph · 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{T2SBJZCX5STNYAYRLRPILOJCCN}

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	2026-05-18T02:51:42.444017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea414e457eca6dc03115c5e85b922134a94d6feef83db282b3a2943946fbf0f

Aliases

arxiv: 1303.4874 · arxiv_version: 1303.4874v1 · doi: 10.48550/arxiv.1303.4874 · pith_short_12: T2SBJZCX5STN · pith_short_16: T2SBJZCX5STNYAYR · pith_short_8: T2SBJZCX

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/T2SBJZCX5STNYAYRLRPILOJCCN \
  | 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: 9ea414e457eca6dc03115c5e85b922134a94d6feef83db282b3a2943946fbf0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce8814830931de47e446fa895a68167d7b4f9a88802c16cb4c46d23418af939",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-20T08:55:50Z",
    "title_canon_sha256": "f7e0b084c8842a7b2a3585a1c1cd63780afd0a8e19b282307753ad169240dabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4874",
    "kind": "arxiv",
    "version": 1
  }
}