Pith Number

pith:TQ6BRJMA

pith:2025:TQ6BRJMAM7FO4NVHX2VPOYR7OW

not attested not anchored not stored refs pending

Direct and inverse spectral continuity for Dirac operators

Pavel Gubkin, Roman Bessonov

arxiv:2505.00485 v1 · 2025-05-01 · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQ6BRJMAM7FO4NVHX2VPOYR7OW}

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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.

Cited by

1 paper in Pith

Gelfand-Levitan condition for Dirac operators

Receipt and verification

First computed	2026-07-05T10:57:14.312666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3c18a58067caee36a7beaaf7623f758059c132de3c14ee06001dc530355238

Aliases

arxiv: 2505.00485 · arxiv_version: 2505.00485v1 · doi: 10.48550/arxiv.2505.00485 · pith_short_12: TQ6BRJMAM7FO · pith_short_16: TQ6BRJMAM7FO4NVH · pith_short_8: TQ6BRJMA

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/TQ6BRJMAM7FO4NVHX2VPOYR7OW \
  | 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: 9c3c18a58067caee36a7beaaf7623f758059c132de3c14ee06001dc530355238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3f35ea5e7e811135264b6a037de40c9f10df8fe2476ac33544e5d09b065a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-01T12:33:18Z",
    "title_canon_sha256": "415360cd148f6a96f2c9ba74ca7930883297a561f8ac13aa1a17813b4a7b36fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00485",
    "kind": "arxiv",
    "version": 1
  }
}