Pith Number

pith:W2V5UEGA

pith:2011:W2V5UEGARBZU4ZKKUZDZFGE2O2

not attested not anchored not stored refs pending

Optical Spectral Singularities as Threshold Resonances

Ali Mostafazadeh

arxiv:1102.4695 v1 · 2011-02-23 · physics.optics · hep-th · math-ph · math.MP · 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{W2V5UEGARBZU4ZKKUZDZFGE2O2}

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	2026-05-18T04:10:56.859130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6abda10c088734e654aa64792989a768ead4c2f96ebe39d485f833db2cc4ea0

Aliases

arxiv: 1102.4695 · arxiv_version: 1102.4695v1 · doi: 10.48550/arxiv.1102.4695 · pith_short_12: W2V5UEGARBZU · pith_short_16: W2V5UEGARBZU4ZKK · pith_short_8: W2V5UEGA

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/W2V5UEGARBZU4ZKKUZDZFGE2O2 \
  | 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: b6abda10c088734e654aa64792989a768ead4c2f96ebe39d485f833db2cc4ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba415c9f11e94208323900045fe062663539fb59fa0d52cfaea58954c4a21b1",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-02-23T09:27:26Z",
    "title_canon_sha256": "e2ecbf967b340c399d4c5918849a2e8b5984e4f458016e9cc2c8b913bf7fe95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4695",
    "kind": "arxiv",
    "version": 1
  }
}