Pith Number

pith:6WXZOCQB

pith:2021:6WXZOCQBHQRDURGYPMPPBEMIOL

not attested not anchored not stored refs pending

FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field

Benjamin Hinrichs, David Hasler, Oliver Siebert

arxiv:2106.08659 v2 · 2021-06-16 · 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{6WXZOCQBHQRDURGYPMPPBEMIOL}

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.

Cited by

1 paper in Pith

Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions

Receipt and verification

First computed	2026-07-05T04:41:51.696720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5af970a013c223a44d87b1ef0918872f4cc8723079c0bc0d1aeb28f4767ed15

Aliases

arxiv: 2106.08659 · arxiv_version: 2106.08659v2 · doi: 10.48550/arxiv.2106.08659 · pith_short_12: 6WXZOCQBHQRD · pith_short_16: 6WXZOCQBHQRDURGY · pith_short_8: 6WXZOCQB

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/6WXZOCQBHQRDURGYPMPPBEMIOL \
  | 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: f5af970a013c223a44d87b1ef0918872f4cc8723079c0bc0d1aeb28f4767ed15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8ed001a273f1babfddeea5aca7f7aad42a81cdbd7073cb9fdc5d55c54ee75c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-06-16T09:48:18Z",
    "title_canon_sha256": "0cdbe1649b0f4d93b3fdf09124a7e03ef1b1b9b4e31627786a56968500cac312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08659",
    "kind": "arxiv",
    "version": 2
  }
}