Pith Number

pith:O76YA2EI

pith:2011:O76YA2EI43XZLSBRKVY6RTTWAR

not attested not anchored not stored refs pending

Exact solution of the Schrodinger equation with the spin-boson Hamiltonian

Bartlomiej Gardas

arxiv:1103.4383 v1 · 2011-03-22 · quant-ph · 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{O76YA2EI43XZLSBRKVY6RTTWAR}

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	2026-05-18T04:24:34.942761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7

Aliases

arxiv: 1103.4383 · arxiv_version: 1103.4383v1 · doi: 10.48550/arxiv.1103.4383 · pith_short_12: O76YA2EI43XZ · pith_short_16: O76YA2EI43XZLSBR · pith_short_8: O76YA2EI

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/O76YA2EI43XZLSBRKVY6RTTWAR \
  | 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: 77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e27f6a2f67b8f39d6a9726543872078892e5371362e8eac7375dd090ebca86",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-22T21:04:28Z",
    "title_canon_sha256": "20c5fc1dcd5bd0abbf838627b00b1b0362dac209267dbcc6ce2ff573976e9a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4383",
    "kind": "arxiv",
    "version": 1
  }
}