Pith Number

pith:GSXEJ57I

pith:2019:GSXEJ57ILM2GSFTAGEVLI3BMWT

not attested not anchored not stored refs pending

Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials

D.A. Zezyulin, D.I. Borisov

arxiv:1908.06384 v2 · 2019-08-18 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSXEJ57ILM2GSFTAGEVLI3BMWT}

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	2026-07-05T00:10:54.329007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ae44f7e85b34691660312ab46c2cb4e546655852312d2e8f0d795e9d6c7fad

Aliases

arxiv: 1908.06384 · arxiv_version: 1908.06384v2 · doi: 10.48550/arxiv.1908.06384 · pith_short_12: GSXEJ57ILM2G · pith_short_16: GSXEJ57ILM2GSFTA · pith_short_8: GSXEJ57I

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/GSXEJ57ILM2GSFTAGEVLI3BMWT \
  | 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: 34ae44f7e85b34691660312ab46c2cb4e546655852312d2e8f0d795e9d6c7fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90deca33d9f391e32133486a69c0dad20629e4d13e54f4f92478768df0d9b7f",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-18T06:55:04Z",
    "title_canon_sha256": "7126be18da0f00309ea97ecc244cd4896722074f7e3ddbe4126bc843109e81ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06384",
    "kind": "arxiv",
    "version": 2
  }
}