Pith Number

pith:2I2EDQBI

pith:2000:2I2EDQBIPLD3E2HQ2V2XBL62D3

not attested not anchored not stored refs pending

The induced charge in a Frohlich polaron: Sum rule and spatial extent

2) ((1) INFM, (2) INFM, Carlo Pierleoni (1, Jose Lorenzana (2), Phys. Dep., Sergio Ciuchi (1), University of L'Aquila, University of RomaI)

arxiv:cond-mat/0003078 v1 · 2000-03-06 · 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{2I2EDQBIPLD3E2HQ2V2XBL62D3}

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	2026-05-18T01:07:13.439372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23441c0287ac7b268f0d57570afda1edadac29232e354fe63b1fd325d5b68da

Aliases

arxiv: cond-mat/0003078 · arxiv_version: cond-mat/0003078v1 · doi: 10.48550/arxiv.cond-mat/0003078 · pith_short_12: 2I2EDQBIPLD3 · pith_short_16: 2I2EDQBIPLD3E2HQ · pith_short_8: 2I2EDQBI

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/2I2EDQBIPLD3E2HQ2V2XBL62D3 \
  | 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: d23441c0287ac7b268f0d57570afda1edadac29232e354fe63b1fd325d5b68da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2013edba437cfb2e6eee3aa0b239bda0f1e7154507b0a50124986d22982ceb4f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2000-03-06T16:08:33Z",
    "title_canon_sha256": "300b0e2bcf7843748ad613e7cf2920de6c99fbe7145130916737417ee97a021d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0003078",
    "kind": "arxiv",
    "version": 1
  }
}