Pith Number

pith:D4U7ANH4

pith:2020:D4U7ANH4LQHQMHEVKBYMVMEUPC

not attested not anchored not stored refs pending

Quantum limits of sub-Laplacians via joint spectral calculus

CaGE ), Cyril Letrouit (DMA, LJLL (UMR\_7598)

arxiv:2007.00910 v3 · 2020-07-02 · math.AP · math-ph · math.MP · 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{D4U7ANH4LQHQMHEVKBYMVMEUPC}

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	2026-07-05T05:57:08.599051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f29f034fc5c0f061c955070cab09478908e1ec8bea5ca5620f388d626edf4db

Aliases

arxiv: 2007.00910 · arxiv_version: 2007.00910v3 · doi: 10.48550/arxiv.2007.00910 · pith_short_12: D4U7ANH4LQHQ · pith_short_16: D4U7ANH4LQHQMHEV · pith_short_8: D4U7ANH4

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/D4U7ANH4LQHQMHEVKBYMVMEUPC \
  | 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: 1f29f034fc5c0f061c955070cab09478908e1ec8bea5ca5620f388d626edf4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c804714200e00de9b6bee837d7dfc46519031e10def8cc5a3f45838a9103c92",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-02T06:35:44Z",
    "title_canon_sha256": "efebaefdfef7dc0170f9cd9b12c91d920d2311f7e5f9dfcf9815052ae664e2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00910",
    "kind": "arxiv",
    "version": 3
  }
}