Pith Number

pith:3PQ6WJVQ

pith:2012:3PQ6WJVQZKIE2W3MMFSVZBDZAR

not attested not anchored not stored refs pending

Perturbative Analysis of Spectral Singularities and Their Optical Realizations

Ali Mostafazadeh, Saber Rostamzadeh

arxiv:1204.2701 v2 · 2012-04-12 · quant-ph · hep-th · math-ph · math.MP · 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{3PQ6WJVQZKIE2W3MMFSVZBDZAR}

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	2026-05-18T01:57:53.135444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe1eb26b0ca904d5b6c61655c84790473d1c675be2dc5053f0aaef6fa802ba6

Aliases

arxiv: 1204.2701 · arxiv_version: 1204.2701v2 · doi: 10.48550/arxiv.1204.2701 · pith_short_12: 3PQ6WJVQZKIE · pith_short_16: 3PQ6WJVQZKIE2W3M · pith_short_8: 3PQ6WJVQ

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/3PQ6WJVQZKIE2W3MMFSVZBDZAR \
  | 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: dbe1eb26b0ca904d5b6c61655c84790473d1c675be2dc5053f0aaef6fa802ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8a2281e4bd676b1d05992e4b7d29ad97a2e19a8156440f4c5715ee61e3b55e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-12T12:29:23Z",
    "title_canon_sha256": "97f00b75c5fc1b468ac9f20864c8059a3c9f9d0d5c924e25c041fcce5906f464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2701",
    "kind": "arxiv",
    "version": 2
  }
}