Pith Number

pith:L3BVGI4S

pith:2000:L3BVGI4S5Q6TM4TSRLLYHNXO4O

not attested not anchored not stored refs pending

Free energy of the Fr\"ohlich polaron in two and three dimensions

C. Pierleoni, Dept of Physics University of L'Aquila ITALY), J. T. Titantah, S. Ciuchi (INFM

arxiv:cond-mat/0010386 v3 · 2000-10-25 · cond-mat.str-el · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3BVGI4S5Q6TM4TSRLLYHNXO4O}

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	2026-05-18T03:24:40.146203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec3532392ec3d3672728ad783b6eee3b5004a8c64a5d2ff8a48f4029ece0b4b

Aliases

arxiv: cond-mat/0010386 · arxiv_version: cond-mat/0010386v3 · doi: 10.48550/arxiv.cond-mat/0010386 · pith_short_12: L3BVGI4S5Q6T · pith_short_16: L3BVGI4S5Q6TM4TS · pith_short_8: L3BVGI4S

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/L3BVGI4S5Q6TM4TSRLLYHNXO4O \
  | 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: 5ec3532392ec3d3672728ad783b6eee3b5004a8c64a5d2ff8a48f4029ece0b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b122e81819ad56674544838ceacd1b16172ee1666ac42a721a66a26289d7fd60",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2000-10-25T09:58:22Z",
    "title_canon_sha256": "e7decef02c77b8f81d9237327ac47ea47b4d113f67e9d32ee871fc8d8d542698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0010386",
    "kind": "arxiv",
    "version": 3
  }
}