Pith Number

pith:53W6RCE7

pith:2017:53W6RCE77NB6STBZ44ZI5OZACO

not attested not anchored not stored refs pending

Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schr\"odinger equation

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1706.09457 v1 · 2017-06-28 · math.CA · math-ph · math.MP · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53W6RCE77NB6STBZ44ZI5OZACO}

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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.

Receipt and verification

First computed	2026-05-18T00:21:46.275727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeede8889ffb43e94c39e7328ebb2013baa1f8af2c7229b984ffc6fdd1fb291b

Aliases

arxiv: 1706.09457 · arxiv_version: 1706.09457v1 · doi: 10.48550/arxiv.1706.09457 · pith_short_12: 53W6RCE77NB6 · pith_short_16: 53W6RCE77NB6STBZ · pith_short_8: 53W6RCE7

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/53W6RCE77NB6STBZ44ZI5OZACO \
  | 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: eeede8889ffb43e94c39e7328ebb2013baa1f8af2c7229b984ffc6fdd1fb291b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff29c630e3f63b74436879775b071d5d5b9b6faf86178d69c3040a9ef0c0e54a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-28T19:51:11Z",
    "title_canon_sha256": "7832b1dcd92d9925ba118ebae8772c4de3b8ea3d89fe3f58d65a79fd587f9482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09457",
    "kind": "arxiv",
    "version": 1
  }
}