Pith Number

pith:26S44GZF

pith:2013:26S44GZFFIVPN546Z6NFZRSFZX

not attested not anchored not stored refs pending

Bethe Ansatz solution of the small polaron with nondiagonal boundary terms

Andr\'e M. Grabinski, Holger Frahm, Nikos Karaiskos

arxiv:1304.2659 v2 · 2013-04-09 · math-ph · cond-mat.str-el · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26S44GZFFIVPN546Z6NFZRSFZX}

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	2026-05-18T03:18:18.330201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a5ce1b252a2af6f79ecf9a5cc645cdda2d5cd563381d01e7e74bc8a1b0d130

Aliases

arxiv: 1304.2659 · arxiv_version: 1304.2659v2 · doi: 10.48550/arxiv.1304.2659 · pith_short_12: 26S44GZFFIVP · pith_short_16: 26S44GZFFIVPN546 · pith_short_8: 26S44GZF

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/26S44GZFFIVPN546Z6NFZRSFZX \
  | 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: d7a5ce1b252a2af6f79ecf9a5cc645cdda2d5cd563381d01e7e74bc8a1b0d130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b99cebb1ed3980ab3b3b74bfbf0f688b24cce246b8a06c8717dc133599ba334",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-09T16:45:46Z",
    "title_canon_sha256": "417317e7c8c4b030be0920a22112bda13b1f33e0380e5e272e1eaf45c8bd54b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2659",
    "kind": "arxiv",
    "version": 2
  }
}