Pith Number

pith:EENJSZNM

pith:2025:EENJSZNMJKDG4ACJ5BGFGOREPM

not attested not anchored not stored refs pending

The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators

Bernard Helffer, Horia D. Cornean, Radu Purice

arxiv:2512.22547 v1 · 2025-12-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EENJSZNMJKDG4ACJ5BGFGOREPM}

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	2026-05-20T00:03:00.975957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211a9965ac4a866e0049e84c533a247b2d3fd7caefb61dc6b7c52fa0eea8b41c

Aliases

arxiv: 2512.22547 · arxiv_version: 2512.22547v1 · doi: 10.48550/arxiv.2512.22547 · pith_short_12: EENJSZNMJKDG · pith_short_16: EENJSZNMJKDG4ACJ · pith_short_8: EENJSZNM

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/EENJSZNMJKDG4ACJ5BGFGOREPM \
  | 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: 211a9965ac4a866e0049e84c533a247b2d3fd7caefb61dc6b7c52fa0eea8b41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660f294d7da148a46652b6ebc3fc7cf354aabbb094b13ca4c4e6ef4c88577efb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-27T10:15:15Z",
    "title_canon_sha256": "07e96b2846ea4ae8721b83c1c51b37258bd0475f8d8e4763563c7b6fdadfe5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22547",
    "kind": "arxiv",
    "version": 1
  }
}