Pith Number

pith:HZP2Q3X4

pith:2026:HZP2Q3X4OBVIQIIZY55E4EPATY

not attested not anchored not stored refs pending

Multi-parameter Perturbations of the Laplacian and Resonance Near a Simple Embedded Eigenvalue

Alok Maharana, Hemant Bansal, Lingaraj Sahu

arxiv:2606.28263 v1 · 2026-06-26 · math.SP · 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{HZP2Q3X4OBVIQIIZY55E4EPATY}

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	2026-06-29T01:15:10.743610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5fa86efc706a882119c77a4e11e09e3ec5dcb99d418cad5ab21d83dc775159

Aliases

arxiv: 2606.28263 · arxiv_version: 2606.28263v1 · doi: 10.48550/arxiv.2606.28263 · pith_short_12: HZP2Q3X4OBVI · pith_short_16: HZP2Q3X4OBVIQIIZ · pith_short_8: HZP2Q3X4

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/HZP2Q3X4OBVIQIIZY55E4EPATY \
  | 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: 3e5fa86efc706a882119c77a4e11e09e3ec5dcb99d418cad5ab21d83dc775159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c63a42fa20dc53537eb3d9249a4d8ccdb876d0e184c0fe56dab49f167e401cae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-26T16:51:41Z",
    "title_canon_sha256": "d9d9eff140bfc99b2752c2db53814880f0ad8e91b6c5eb9e7bc5418542b19948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28263",
    "kind": "arxiv",
    "version": 1
  }
}