Pith Number

pith:FQDMTUDK

pith:2000:FQDMTUDKFE6OREOR5ROL5PZ3AX

not attested not anchored not stored refs pending

The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field

Herbert Spohn, Jozsef Lorinczi, Robert A. Minlos

arxiv:math-ph/0011043 v1 · 2000-11-27 · math-ph · math.GT · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQDMTUDKFE6OREOR5ROL5PZ3AX}

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

On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model

Receipt and verification

First computed	2026-07-04T14:33:37.352044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c06c9d06a293ce891d1ec5cbebf3b05e3cb163f6dd383b9cdee7f373e1997b4

Aliases

arxiv: math-ph/0011043 · arxiv_version: math-ph/0011043v1 · doi: 10.48550/arxiv.math-ph/0011043 · pith_short_12: FQDMTUDKFE6O · pith_short_16: FQDMTUDKFE6OREOR · pith_short_8: FQDMTUDK

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/FQDMTUDKFE6OREOR5ROL5PZ3AX \
  | 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: 2c06c9d06a293ce891d1ec5cbebf3b05e3cb163f6dd383b9cdee7f373e1997b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea383bf0e1f495719fe768a3f2312519fc6c3fdbffe0e2f7721011547fc104c2",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-11-27T13:15:30Z",
    "title_canon_sha256": "8f06c391e187671a966a38d9712a4589f2ff487992bc4dc6b884a3b696708c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0011043",
    "kind": "arxiv",
    "version": 1
  }
}