Pith Number

pith:6IZECHAG

pith:2026:6IZECHAGFNRTDND7W2XCQFT4FO

not attested not anchored not stored refs pending

Variational Polaron Theory for Ground States of Strongly Coupled Light-Matter and Electron-Phonon Systems

Nguyen Thanh Phuc

arxiv:2606.19748 v1 · 2026-06-18 · physics.chem-ph · cond-mat.mes-hall · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IZECHAGFNRTDND7W2XCQFT4FO}

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	2026-06-19T16:12:34.018558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f232411c062b6331b47fb6ae28167c2bbc11897566ab144e84cc0bbbfad13158

Aliases

arxiv: 2606.19748 · arxiv_version: 2606.19748v1 · doi: 10.48550/arxiv.2606.19748 · pith_short_12: 6IZECHAGFNRT · pith_short_16: 6IZECHAGFNRTDND7 · pith_short_8: 6IZECHAG

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/6IZECHAGFNRTDND7W2XCQFT4FO \
  | 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: f232411c062b6331b47fb6ae28167c2bbc11897566ab144e84cc0bbbfad13158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0fa978df961a5cbbc2063d74f13a2bbafb71fd0429715bd16f9a347b9bf756f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-18T03:29:54Z",
    "title_canon_sha256": "a1c23d50eff6a0f5212fbeb4a79dea6e3cd052fcfe3593471b9ca65578d5182f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19748",
    "kind": "arxiv",
    "version": 1
  }
}