Pith Number

pith:ATUMZFPV

pith:2018:ATUMZFPVMRV547HTA6TQUIUNZJ

not attested not anchored not stored refs pending

Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times

Chiranjib Mukherjee, S.R.S. Varadhan

arxiv:1802.05696 v6 · 2018-02-15 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATUMZFPVMRV547HTA6TQUIUNZJ}

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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

Effective mass of the polaron -- revisited

Receipt and verification

First computed	2026-07-05T03:11:21.642695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e8cc95f5646bde7cf307a70a228dca7e4156cceb6d7f69ecb20cf944d64cff

Aliases

arxiv: 1802.05696 · arxiv_version: 1802.05696v6 · doi: 10.48550/arxiv.1802.05696 · pith_short_12: ATUMZFPVMRV5 · pith_short_16: ATUMZFPVMRV547HT · pith_short_8: ATUMZFPV

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/ATUMZFPVMRV547HTA6TQUIUNZJ \
  | 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: 04e8cc95f5646bde7cf307a70a228dca7e4156cceb6d7f69ecb20cf944d64cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1aad776975b0bd63c25184288adbf8b7f127a8dc6a6ccc32692da2a6a771656",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-15T18:29:02Z",
    "title_canon_sha256": "46e1f4822930e913c172d1f76b0536db25dcd696c9f6d5188e3f9f62af02675c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05696",
    "kind": "arxiv",
    "version": 6
  }
}