Pith Number

pith:IMDNYGSP

pith:2024:IMDNYGSPZTEHE73ILGF6YGXLUW

not attested not anchored not stored refs pending

Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump

David Krejcirik, Lyonell Boulton, Tho Nguyen Duc

arxiv:2409.06480 v2 · 2024-09-10 · math.SP · math-ph · math.AP · math.FA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMDNYGSPZTEHE73ILGF6YGXLUW}

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	2026-06-05T01:14:24.437933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4306dc1a4fccc8727f68598bec1aeba5b54b7a0656cbbca79aa5d83f9f59785d

Aliases

arxiv: 2409.06480 · arxiv_version: 2409.06480v2 · doi: 10.48550/arxiv.2409.06480 · pith_short_12: IMDNYGSPZTEH · pith_short_16: IMDNYGSPZTEHE73I · pith_short_8: IMDNYGSP

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/IMDNYGSPZTEHE73ILGF6YGXLUW \
  | 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: 4306dc1a4fccc8727f68598bec1aeba5b54b7a0656cbbca79aa5d83f9f59785d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c59efb1f28d15be0e01f0ef94ff4358db6065251809110aa90587efc8889494",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-09-10T13:08:05Z",
    "title_canon_sha256": "d9805afce76fd247e94191aad8eef79f78d9ac7af5587e238713759b7008919c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06480",
    "kind": "arxiv",
    "version": 2
  }
}