Pith Number

pith:XMLY66ZL

pith:2026:XMLY66ZL4ZI3EXRUEF4JO7HTHI

not attested not anchored not stored refs pending

Ambarzumian-type theorems for Hermitian matrices with applications

Joachim Kerner, Matthias Hofmann

arxiv:2606.21589 v1 · 2026-06-19 · 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{XMLY66ZL4ZI3EXRUEF4JO7HTHI}

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	2026-06-23T01:13:15.518362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb178f7b2be651b25e342178977cf33a0e3381e674e0f61105b1692f02a2a8ce

Aliases

arxiv: 2606.21589 · arxiv_version: 2606.21589v1 · doi: 10.48550/arxiv.2606.21589 · pith_short_12: XMLY66ZL4ZI3 · pith_short_16: XMLY66ZL4ZI3EXRU · pith_short_8: XMLY66ZL

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/XMLY66ZL4ZI3EXRUEF4JO7HTHI \
  | 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: bb178f7b2be651b25e342178977cf33a0e3381e674e0f61105b1692f02a2a8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0c267bd29dc0fc1aaefd0faa7bab9bdfca91b7f4b34d293252a2e6dde2982b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-19T16:46:16Z",
    "title_canon_sha256": "a6fc2456858d615de179cf73d2bcab9add600a4e0d81b6c171ddeda5132deddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21589",
    "kind": "arxiv",
    "version": 1
  }
}