Pith Number

pith:PQY646ID

pith:2011:PQY646IDMVIIEXJWPEYZ5337XI

not attested not anchored not stored refs pending

Unconventional modes in lasers with spatially varying gain and loss

A. D. Stone, H. E. T\"ureci, Li Ge, S. Rotter, Y. D. Chong

arxiv:1106.3051 v1 · 2011-06-15 · physics.optics

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQY646IDMVIIEXJWPEYZ5337XI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:01:36.743601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c31ee79036550825d3679319eef7fba0768c9f72b8277e5aa2ffb9015528811

Aliases

arxiv: 1106.3051 · arxiv_version: 1106.3051v1 · doi: 10.48550/arxiv.1106.3051 · pith_short_12: PQY646IDMVII · pith_short_16: PQY646IDMVIIEXJW · pith_short_8: PQY646ID

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/PQY646IDMVIIEXJWPEYZ5337XI \
  | 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: 7c31ee79036550825d3679319eef7fba0768c9f72b8277e5aa2ffb9015528811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56e8491866129c5bc3c60a4fa39297c041684ba5fffa1b6c82906627b02620b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-06-15T18:50:29Z",
    "title_canon_sha256": "81994e10d5ed14a0e8319ceaba3ee073aa3fcec9e4e1199f4a438555f8f5a7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3051",
    "kind": "arxiv",
    "version": 1
  }
}