Pith Number

pith:ROJEFEXE

pith:2011:ROJEFEXE4L653QVPYCTFQ3DPFC

not attested not anchored not stored refs pending

On inaudible properties of broken drums - Isospectrality with mixed Dirichlet-Neumann boundary conditions

Peter Herbrich

arxiv:1111.6789 v3 · 2011-11-29 · math.DG · 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{ROJEFEXE4L653QVPYCTFQ3DPFC}

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	2026-05-18T02:39:01.507109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b924292e4e2fdddc2afc0a6586c6f288893c727e22d1c0e000630ae16391443

Aliases

arxiv: 1111.6789 · arxiv_version: 1111.6789v3 · doi: 10.48550/arxiv.1111.6789 · pith_short_12: ROJEFEXE4L65 · pith_short_16: ROJEFEXE4L653QVP · pith_short_8: ROJEFEXE

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/ROJEFEXE4L653QVPYCTFQ3DPFC \
  | 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: 8b924292e4e2fdddc2afc0a6586c6f288893c727e22d1c0e000630ae16391443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5cbc4e41b18849fa714e1ecaed0697b17d5df65caa76bfbf598c35510853e0",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-29T12:26:34Z",
    "title_canon_sha256": "2e0d1552dcfc3a72f210ed34ff85e7e7618afffc17152432caf1b916a032be4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6789",
    "kind": "arxiv",
    "version": 3
  }
}