Pith Number

pith:PPESEX2J

pith:2013:PPESEX2JP47LC6GXPTB42XL66Y

not attested not anchored not stored refs pending

Spectral Singularities in the Surface Modes of a Spherical Gain Medium

Ali Mostafazadeh, Mustafa Sarisaman

arxiv:1308.2897 v1 · 2013-08-13 · 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{PPESEX2JP47LC6GXPTB42XL66Y}

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	2026-05-18T02:51:42.170885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc9225f497f3eb178d77cc3cd5d7ef61484727e9b5c6de2ee389b60bb7cf8da

Aliases

arxiv: 1308.2897 · arxiv_version: 1308.2897v1 · doi: 10.48550/arxiv.1308.2897 · pith_short_12: PPESEX2JP47L · pith_short_16: PPESEX2JP47LC6GX · pith_short_8: PPESEX2J

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/PPESEX2JP47LC6GXPTB42XL66Y \
  | 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: 7bc9225f497f3eb178d77cc3cd5d7ef61484727e9b5c6de2ee389b60bb7cf8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9332c7992f6446b9aaf543a023a026ce7fffd507e52b29cd5131f22f6d56f5fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-13T15:35:05Z",
    "title_canon_sha256": "b8610da9be97460f094a748a345246fce449ffd949ee039f38933f00ab6acd66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2897",
    "kind": "arxiv",
    "version": 1
  }
}