Pith Number

pith:2HDO5BTT

pith:2011:2HDO5BTTL2RMWYMLMWJGYVU67U

not attested not anchored not stored refs pending

Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization

Ali Mostafazadeh, Mustafa Sarisaman

arxiv:1107.1873 v1 · 2011-07-10 · math-ph · math.MP · physics.optics · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HDO5BTTL2RMWYMLMWJGYVU67U}

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	2026-05-18T04:10:56.568290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c6ee86735ea2cb618b65926c569efd3a77a092fbd185a866dcc48021bab997

Aliases

arxiv: 1107.1873 · arxiv_version: 1107.1873v1 · doi: 10.48550/arxiv.1107.1873 · pith_short_12: 2HDO5BTTL2RM · pith_short_16: 2HDO5BTTL2RMWYML · pith_short_8: 2HDO5BTT

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/2HDO5BTTL2RMWYMLMWJGYVU67U \
  | 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: d1c6ee86735ea2cb618b65926c569efd3a77a092fbd185a866dcc48021bab997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f57ade6b9495bd674798a60e356b7372158cb63cbf26baf8a71560432978b9",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-10T16:30:25Z",
    "title_canon_sha256": "9e47602ebf2cd78d3ce5c5a0626fe02c9ab9c0e644fcb2e20dae6110e646ad25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1873",
    "kind": "arxiv",
    "version": 1
  }
}