Pith Number

pith:K5GAF6DH

pith:2017:K5GAF6DH443SM4ZUHIUNBLMKPC

not attested not anchored not stored refs pending

Generalized Version of the Creation and Annihilation Operators for the Schr\"odinger Equation

C.C. Barros Jr, L. C. N. Santos

arxiv:1701.08581 v1 · 2017-01-30 · math-ph · 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{K5GAF6DH443SM4ZUHIUNBLMKPC}

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	2026-05-18T00:51:53.646221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574c02f867e7372673343a28d0ad8a78ac120307e15dd545e0886360028713f0

Aliases

arxiv: 1701.08581 · arxiv_version: 1701.08581v1 · doi: 10.48550/arxiv.1701.08581 · pith_short_12: K5GAF6DH443S · pith_short_16: K5GAF6DH443SM4ZU · pith_short_8: K5GAF6DH

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/K5GAF6DH443SM4ZUHIUNBLMKPC \
  | 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: 574c02f867e7372673343a28d0ad8a78ac120307e15dd545e0886360028713f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80c4e1ec1726298e742550af949b7f68e259b09d2d3d51ced5fe61843c82c5c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-30T13:19:34Z",
    "title_canon_sha256": "a2ef5edd8b39befc04fcffb9625350200277cec515eb771a953b445aa38002af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08581",
    "kind": "arxiv",
    "version": 1
  }
}