Pith Number

pith:PBHOEUAU

pith:2026:PBHOEUAUC4XDPLB3K6SACKDGXS

not attested not anchored not stored refs pending

Orbital Embedding and the Physical Definition of Quantum Geometry

Chang-geun Oh, Shuichi Murakami

arxiv:2607.21882 v1 · 2026-07-24 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBHOEUAUC4XDPLB3K6SACKDGXS}

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.

Cited by

1 paper in Pith

Quantum geometry and RKKY in flat bands

Receipt and verification

First computed	2026-07-27T00:20:26.085900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784ee25014172e37ac3b57a4012866bc924f25da99fa794f015d9aa5f1c9c9b6

Aliases

arxiv: 2607.21882 · arxiv_version: 2607.21882v1 · doi: 10.48550/arxiv.2607.21882 · pith_short_12: PBHOEUAUC4XD · pith_short_16: PBHOEUAUC4XDPLB3 · pith_short_8: PBHOEUAU

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/PBHOEUAUC4XDPLB3K6SACKDGXS \
  | 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: 784ee25014172e37ac3b57a4012866bc924f25da99fa794f015d9aa5f1c9c9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58fddc790372e3c79a3b41ed85a7c83aff39ce764ca1e5f28308731a48cd5f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-24T00:52:07Z",
    "title_canon_sha256": "61408bb15ae8f55f05d4e04c17671738ee9030682b67f3a5f61c17e6d1c12a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21882",
    "kind": "arxiv",
    "version": 1
  }
}