Pith Number

pith:5MQ4FY74

pith:2018:5MQ4FY74IJ6N5H4I5RI4YACAV3

not attested not anchored not stored refs pending

Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions

Emmanuel Tr\'elat, Enrique Zuazua, Yannick Privat (IRMA)

arxiv:1809.05316 v1 · 2018-09-14 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MQ4FY74IJ6N5H4I5RI4YACAV3}

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	2026-05-18T00:05:43.978440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb21c2e3fc427cde9f88ec51cc0040aefd28daaf20c8e9f62180edbe1cf65f83

Aliases

arxiv: 1809.05316 · arxiv_version: 1809.05316v1 · doi: 10.48550/arxiv.1809.05316 · pith_short_12: 5MQ4FY74IJ6N · pith_short_16: 5MQ4FY74IJ6N5H4I · pith_short_8: 5MQ4FY74

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/5MQ4FY74IJ6N5H4I5RI4YACAV3 \
  | 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: eb21c2e3fc427cde9f88ec51cc0040aefd28daaf20c8e9f62180edbe1cf65f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8645504966d2b39de838c013583c5a29fbbe52a5a84f325b758921d68ef02b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-14T09:12:49Z",
    "title_canon_sha256": "faeafccd477ef6639647e5b91ad69bca181e9594ffc9f5374e9abaab6c1724f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05316",
    "kind": "arxiv",
    "version": 1
  }
}