Pith Number

pith:I4R4JNV7

pith:2009:I4R4JNV72CDLKWUALFFDEZ2SB4

not attested not anchored not stored refs pending

Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides

Ali Mostafazadeh

arxiv:0908.1713 v3 · 2009-08-12 · quant-ph · cond-mat.other · 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{I4R4JNV72CDLKWUALFFDEZ2SB4}

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	2026-05-18T04:37:33.893656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4723c4b6bfd086b55a80594a3267520f31c40050d465b4c9baa9937db5112eae

Aliases

arxiv: 0908.1713 · arxiv_version: 0908.1713v3 · doi: 10.48550/arxiv.0908.1713 · pith_short_12: I4R4JNV72CDL · pith_short_16: I4R4JNV72CDLKWUA · pith_short_8: I4R4JNV7

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/I4R4JNV72CDLKWUALFFDEZ2SB4 \
  | 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: 4723c4b6bfd086b55a80594a3267520f31c40050d465b4c9baa9937db5112eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4434f92f2a90ce4ac13bd9595f70abc915eaace949c4cc3280292f748ec22698",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-08-12T13:44:56Z",
    "title_canon_sha256": "1acd7f279203a2e5f497890e30795adf0b88368686ea7244829e4cd21bcdf972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1713",
    "kind": "arxiv",
    "version": 3
  }
}