Pith Number

pith:DZZ2IM4C

pith:2026:DZZ2IM4C4YAFGVECNW5QEKUFJV

not attested not anchored not stored refs pending

Congruence of Dirac operators with applications to generalized MIT bag models

Joaquim Duran, Konstantin Pankrashkin

arxiv:2607.26675 v1 · 2026-07-29 · math-ph · 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{DZZ2IM4C4YAFGVECNW5QEKUFJV}

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	2026-07-30T01:21:54.800812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

1e73a43382e6005354826dbb022a854d72e9769a7b33a5ef57f215834a5d59d5

Aliases

arxiv: 2607.26675 · arxiv_version: 2607.26675v1 · doi: 10.48550/arxiv.2607.26675 · pith_short_12: DZZ2IM4C4YAF · pith_short_16: DZZ2IM4C4YAFGVEC · pith_short_8: DZZ2IM4C

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/DZZ2IM4C4YAFGVECNW5QEKUFJV \
  | 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: 1e73a43382e6005354826dbb022a854d72e9769a7b33a5ef57f215834a5d59d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59223d36dfc07d67f44b86a9cdfb3fc5ae37bb42bfbe0b565faa4dfe7e402b12",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-29T09:29:58Z",
    "title_canon_sha256": "e981e91babee21de71620a8ba82483a3a7366faee1789301841ed06824435828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26675",
    "kind": "arxiv",
    "version": 1
  }
}