Pith Number

pith:Z2JPJO7N

pith:2015:Z2JPJO7NNBKAFFR5V43JBHBOIN

not attested not anchored not stored refs pending

The Topology and Geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators

A. Ibort, G. Marmo, M. Asorey

arxiv:1510.08136 v1 · 2015-10-28 · 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{Z2JPJO7NNBKAFFR5V43JBHBOIN}

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	2026-05-18T01:27:56.413466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce92f4bbed685402963daf36909c2e43400a12b2eb92c41b1041fc04e0502cf3

Aliases

arxiv: 1510.08136 · arxiv_version: 1510.08136v1 · doi: 10.48550/arxiv.1510.08136 · pith_short_12: Z2JPJO7NNBKA · pith_short_16: Z2JPJO7NNBKAFFR5 · pith_short_8: Z2JPJO7N

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/Z2JPJO7NNBKAFFR5V43JBHBOIN \
  | 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: ce92f4bbed685402963daf36909c2e43400a12b2eb92c41b1041fc04e0502cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1883016a964b457d0ce77ff7878cfa9220bb6e8448b8d737fe07ea5f9e3f8bf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-28T00:09:37Z",
    "title_canon_sha256": "0de571d0472413f55c23aae4f6eb383e20051b243376b6f2613c0e15d410d765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08136",
    "kind": "arxiv",
    "version": 1
  }
}