Pith Number

pith:X7WVU3TM

pith:2025:X7WVU3TM4PBNDN45GWEPU3WWB6

not attested not anchored not stored refs pending

Weighted eigenvalues of Dirac operators: complete continuity and comparison

Ruijun Wu, Zixuan Qiu

arxiv:2508.07591 v2 · 2025-08-11 · 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{X7WVU3TM4PBNDN45GWEPU3WWB6}

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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.

Cited by

1 paper in Pith

Continuity of Weighted Dirac Spectra

Receipt and verification

First computed	2026-07-05T12:00:07.836573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfed5a6e6ce3c2d1b79d3588fa6ed60fbd5cf302e80f7e8158f2dedbc899b7e5

Aliases

arxiv: 2508.07591 · arxiv_version: 2508.07591v2 · doi: 10.48550/arxiv.2508.07591 · pith_short_12: X7WVU3TM4PBN · pith_short_16: X7WVU3TM4PBNDN45 · pith_short_8: X7WVU3TM

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/X7WVU3TM4PBNDN45GWEPU3WWB6 \
  | 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: bfed5a6e6ce3c2d1b79d3588fa6ed60fbd5cf302e80f7e8158f2dedbc899b7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e699bd4170b36a9d99f1ea8d5e6c313305ba874e00d31fa6a5305e9cfc7b8a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-08-11T03:37:28Z",
    "title_canon_sha256": "8af778b8036d2d36f48bfb0230368fe955fc3042de0bfc40d34e3fe0f027878d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07591",
    "kind": "arxiv",
    "version": 2
  }
}