Pith Number

pith:VXNXBKWV

pith:2026:VXNXBKWVBHKBATRXZ3GOGDJ2WH

not attested not anchored not stored refs pending

Entanglement entropy of ground states of the Landau Hamiltonian on the half-plane

Paul Pfeiffer, Wolfgang Spitzer

arxiv:2607.09467 v1 · 2026-07-10 · math-ph · 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{VXNXBKWVBHKBATRXZ3GOGDJ2WH}

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	2026-07-13T01:20:12.044122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addb70aad509d4104e37cecce30d3ab1f3579c618008df7c426701725f45a8a7

Aliases

arxiv: 2607.09467 · arxiv_version: 2607.09467v1 · doi: 10.48550/arxiv.2607.09467 · pith_short_12: VXNXBKWVBHKB · pith_short_16: VXNXBKWVBHKBATRX · pith_short_8: VXNXBKWV

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/VXNXBKWVBHKBATRXZ3GOGDJ2WH \
  | 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: addb70aad509d4104e37cecce30d3ab1f3579c618008df7c426701725f45a8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fdefacbeb3be4095b948f990e739191cb4aed3a403b24bfc7871a6f29d2e833",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-10T14:42:30Z",
    "title_canon_sha256": "e2fdefb46d62bb81f2d877944c4f00fe66edbd3c703a432538e18db192d92ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09467",
    "kind": "arxiv",
    "version": 1
  }
}