Pith Number

pith:GNUWJXHO

pith:2025:GNUWJXHOW74TMSS72RGF2DHSRW

not attested not anchored not stored refs pending

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues

Ryoki Endo, Xuefeng Liu

arxiv:2506.07340 v1 · 2025-06-09 · math.SP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNUWJXHOW74TMSS72RGF2DHSRW}

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	2026-07-05T11:18:25.337910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336964dceeb7f9364a5fd44c5d0cf28d936ad0a1dc3e292e0cd3a73794a95df4

Aliases

arxiv: 2506.07340 · arxiv_version: 2506.07340v1 · doi: 10.48550/arxiv.2506.07340 · pith_short_12: GNUWJXHOW74T · pith_short_16: GNUWJXHOW74TMSS7 · pith_short_8: GNUWJXHO

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/GNUWJXHOW74TMSS72RGF2DHSRW \
  | 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: 336964dceeb7f9364a5fd44c5d0cf28d936ad0a1dc3e292e0cd3a73794a95df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff7e95a2f35eeb3dd5a3a1d2126fa65c7fcdb229de4d40d13d9d46c168fbf90",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-06-09T01:03:12Z",
    "title_canon_sha256": "819a60a3d20eb56cd6b982f504659450edfa5222df2d07f8adf5a268954abf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07340",
    "kind": "arxiv",
    "version": 1
  }
}