Pith Number

pith:UZ7CLTKU

pith:2013:UZ7CLTKU4QAKE3X5OGDZH4Q6ZF

not attested not anchored not stored refs pending

Spectral Singularities and Whispering Gallery Modes of a Cylindrical Gain Medium

Ali Mostafazadeh, Mustafa Sarisaman

arxiv:1305.7436 v1 · 2013-05-31 · quant-ph · 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{UZ7CLTKU4QAKE3X5OGDZH4Q6ZF}

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	2026-05-18T02:51:42.333228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67e25cd54e400a26efd718793f21ec957aa4f058117e438ca00b29f2a572949

Aliases

arxiv: 1305.7436 · arxiv_version: 1305.7436v1 · doi: 10.48550/arxiv.1305.7436 · pith_short_12: UZ7CLTKU4QAK · pith_short_16: UZ7CLTKU4QAKE3X5 · pith_short_8: UZ7CLTKU

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/UZ7CLTKU4QAKE3X5OGDZH4Q6ZF \
  | 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: a67e25cd54e400a26efd718793f21ec957aa4f058117e438ca00b29f2a572949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8dcbea5c1da970acf20f7ff0fcf4366b4e01298f009d8a1da5dde06bc62cf4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-31T14:59:08Z",
    "title_canon_sha256": "2b98a62da65325288596b03f55f4159f82156ecf41d46f508cde791d7bfa1f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7436",
    "kind": "arxiv",
    "version": 1
  }
}