Pith Number

pith:MN4MQUFG

pith:2012:MN4MQUFGAJ6I2P4QO3XQSBTEUK

not attested not anchored not stored refs pending

Spectral Singularities Do Not Correspond to Bound States in the Continuum

Ali Mostafazadeh

arxiv:1207.2278 v1 · 2012-07-10 · math-ph · hep-th · 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{MN4MQUFGAJ6I2P4QO3XQSBTEUK}

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	2026-05-18T03:51:24.521820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6378c850a6027c8d3f9076ef090664a2a284ae4bf54d153b56e62b57d10b4ed7

Aliases

arxiv: 1207.2278 · arxiv_version: 1207.2278v1 · doi: 10.48550/arxiv.1207.2278 · pith_short_12: MN4MQUFGAJ6I · pith_short_16: MN4MQUFGAJ6I2P4Q · pith_short_8: MN4MQUFG

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/MN4MQUFGAJ6I2P4QO3XQSBTEUK \
  | 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: 6378c850a6027c8d3f9076ef090664a2a284ae4bf54d153b56e62b57d10b4ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c417da51618a65770c9c113a4360f3139e5b83543455156a73bda2055d23e65",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-10T09:37:22Z",
    "title_canon_sha256": "c556784639e4ddb33cf2cc9943ada844b41ee19d3f501715d0b9f5948da5eb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2278",
    "kind": "arxiv",
    "version": 1
  }
}