Pith Number

pith:XW55U34J

pith:2013:XW55U34JUHEX2GNMUBVKKU4QNC

not attested not anchored not stored refs pending

The ground state energy of a polaron in a strong magnetic field

Leander Geisinger, Rupert L. Frank

arxiv:1303.2382 v1 · 2013-03-10 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XW55U34JUHEX2GNMUBVKKU4QNC}

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	2026-05-18T03:31:19.191971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbbda6f89a1c97d19aca06aa55390688769c38e1833f0b9c5c6708f3022bbe1

Aliases

arxiv: 1303.2382 · arxiv_version: 1303.2382v1 · doi: 10.48550/arxiv.1303.2382 · pith_short_12: XW55U34JUHEX · pith_short_16: XW55U34JUHEX2GNM · pith_short_8: XW55U34J

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/XW55U34JUHEX2GNMUBVKKU4QNC \
  | 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: bdbbda6f89a1c97d19aca06aa55390688769c38e1833f0b9c5c6708f3022bbe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5dac0acddf7ac43ea5b6254002bec622cd4883840965b5e4229adef63a14ce7",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-10T21:57:44Z",
    "title_canon_sha256": "828106cae1baf1297c8a7e7706071d00d5a3c74a5e26b9c1dd7f91463fded871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2382",
    "kind": "arxiv",
    "version": 1
  }
}