Pith Number

pith:7JUFQQRZ

pith:2013:7JUFQQRZOSPOXHB3EEYZHP5ZIN

not attested not anchored not stored refs pending

Translation invariant theory of polaron (bipolaron) and the problem of quantizing near the classical solution

V.D. Lakhno

arxiv:1305.5731 v1 · 2013-05-23 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JUFQQRZOSPOXHB3EEYZHP5ZIN}

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	2026-05-18T03:25:03.345990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa68584239749eeb9c3b213193bfb9437f88eb664613c36efb74698bbd95f26a

Aliases

arxiv: 1305.5731 · arxiv_version: 1305.5731v1 · doi: 10.48550/arxiv.1305.5731 · pith_short_12: 7JUFQQRZOSPO · pith_short_16: 7JUFQQRZOSPOXHB3 · pith_short_8: 7JUFQQRZ

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/7JUFQQRZOSPOXHB3EEYZHP5ZIN \
  | 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: fa68584239749eeb9c3b213193bfb9437f88eb664613c36efb74698bbd95f26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c378fbe113333f765388527d8da7a45b0686357cc625f160022d921ead1acee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2013-05-23T11:39:21Z",
    "title_canon_sha256": "f6aff1ad86ab2f88ccb2970ca1aa901ef021bfb8050958eb0ea8ec5cac9b5e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5731",
    "kind": "arxiv",
    "version": 1
  }
}