Pith Number

pith:2S4L4UX2

pith:2012:2S4L4UX2P5F77YOW43ZI3IAR5L

not attested not anchored not stored refs pending

Fully Coupled Pauli-Fierz Systems at Zero and Positive Temperature

Jacob Schach M{\o}ller

arxiv:1210.7500 v3 · 2012-10-28 · 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{2S4L4UX2P5F77YOW43ZI3IAR5L}

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	2026-05-18T02:56:05.359032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b8be52fa7f4bffe1d6e6f28da011eaec56707ad798a803ad176a8dcb23bfb1

Aliases

arxiv: 1210.7500 · arxiv_version: 1210.7500v3 · doi: 10.48550/arxiv.1210.7500 · pith_short_12: 2S4L4UX2P5F7 · pith_short_16: 2S4L4UX2P5F77YOW · pith_short_8: 2S4L4UX2

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/2S4L4UX2P5F77YOW43ZI3IAR5L \
  | 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: d4b8be52fa7f4bffe1d6e6f28da011eaec56707ad798a803ad176a8dcb23bfb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a82c87797003627d610f134c9b4cc62e434e27855a88530e2e69d351819e98b3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-28T19:56:11Z",
    "title_canon_sha256": "5e15925f3a4737e91b606505b9d3926082cecf678c7d085c5b6a565b2c28805f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7500",
    "kind": "arxiv",
    "version": 3
  }
}