Pith Number

pith:W666THNH

pith:2019:W666THNH56ERFJJ3JSBQWSDSTS

not attested not anchored not stored refs pending

On Schr\"odinger and Dirac Operators with an Oscillating Potential

Thierry Jecko (AGM)

arxiv:1905.07156 v1 · 2019-05-17 · 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{W666THNH56ERFJJ3JSBQWSDSTS}

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	2026-05-17T23:45:56.305973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7bde99da7ef8912a53b4c830b48729cb795d8e1dd734c1b98013b7cefefb5ba

Aliases

arxiv: 1905.07156 · arxiv_version: 1905.07156v1 · doi: 10.48550/arxiv.1905.07156 · pith_short_12: W666THNH56ER · pith_short_16: W666THNH56ERFJJ3 · pith_short_8: W666THNH

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/W666THNH56ERFJJ3JSBQWSDSTS \
  | 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: b7bde99da7ef8912a53b4c830b48729cb795d8e1dd734c1b98013b7cefefb5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4137852277bdd9ebd713bd74f3d5e70368b7e388451f910cc952075d369562f5",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-17T08:00:44Z",
    "title_canon_sha256": "d4ba0ca848e14d449022ad6db3deaaa356ec0e0e337215ec64b4fe3fe8a62c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07156",
    "kind": "arxiv",
    "version": 1
  }
}