Pith Number

pith:EPX4INCX

pith:2018:EPX4INCXGEUWVDAH7Z4KBKK237

not attested not anchored not stored refs pending

Identification of the Polaron measure in strong coupling and the Pekar variational formula

Chiranjib Mukherjee, S.R.S. Varadhan

arxiv:1812.06927 v3 · 2018-12-17 · 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{EPX4INCXGEUWVDAH7Z4KBKK237}

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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	2026-07-05T03:00:26.076661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23efc4345731296a8c07fe78a0a95adffe16548ce228b715bab8bedff76c7fb9

Aliases

arxiv: 1812.06927 · arxiv_version: 1812.06927v3 · doi: 10.48550/arxiv.1812.06927 · pith_short_12: EPX4INCXGEUW · pith_short_16: EPX4INCXGEUWVDAH · pith_short_8: EPX4INCX

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/EPX4INCXGEUWVDAH7Z4KBKK237 \
  | 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: 23efc4345731296a8c07fe78a0a95adffe16548ce228b715bab8bedff76c7fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2d4df8ba4ff444f9bb42370bc286cd356d6a328652fbdc5ed014b8a46e74fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-17T18:00:16Z",
    "title_canon_sha256": "d586db15dd32ad9eca40a791e24ed9c21e8e75c8add1ee150fbb7ca094b1accd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06927",
    "kind": "arxiv",
    "version": 3
  }
}