Pith Number

pith:RMNJ4W6I

pith:2026:RMNJ4W6IUBF53PM7AZNZTQQEL2

not attested not anchored not stored refs pending

Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics

H. Malonek, L. Aceto, P.A. Grassi

arxiv:2607.27920 v1 · 2026-07-30 · math-ph · 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{RMNJ4W6IUBF53PM7AZNZTQQEL2}

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	2026-07-31T01:34:48.217712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8b1a9e5bc8a04bddbd9f065b99c2045e8ec9f21136d794ca0a42b68f670d849e

Aliases

arxiv: 2607.27920 · arxiv_version: 2607.27920v1 · doi: 10.48550/arxiv.2607.27920 · pith_short_12: RMNJ4W6IUBF5 · pith_short_16: RMNJ4W6IUBF53PM7 · pith_short_8: RMNJ4W6I

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/RMNJ4W6IUBF53PM7AZNZTQQEL2 \
  | 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: 8b1a9e5bc8a04bddbd9f065b99c2045e8ec9f21136d794ca0a42b68f670d849e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122fe3ff6ee2edc777db7fbb8724db6f9e5bd24722bc0283fa0af9800007d447",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-30T09:31:20Z",
    "title_canon_sha256": "8d85533cae82476aa19073e3999f76143e684c4051d89c330adf6425768741f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27920",
    "kind": "arxiv",
    "version": 1
  }
}