Pith Number

pith:YTG5DYN5

pith:2008:YTG5DYN545GTCW6Y6QWY6XFTPY

not attested not anchored not stored refs pending

Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints

Jimmy Lamboley (IRMAR), Tanguy Brian\c{c}on (IRMAR)

arxiv:0807.2196 v1 · 2008-07-14 · 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{YTG5DYN545GTCW6Y6QWY6XFTPY}

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	2026-05-18T02:15:45.153179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4cdd1e1bde74d315bd8f42d8f5cb37e384b48f30b7e261502a9266154d0742c

Aliases

arxiv: 0807.2196 · arxiv_version: 0807.2196v1 · doi: 10.48550/arxiv.0807.2196 · pith_short_12: YTG5DYN545GT · pith_short_16: YTG5DYN545GTCW6Y · pith_short_8: YTG5DYN5

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/YTG5DYN545GTCW6Y6QWY6XFTPY \
  | 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: c4cdd1e1bde74d315bd8f42d8f5cb37e384b48f30b7e261502a9266154d0742c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc92c76f799ed830fdd3129e87daca4a7f0ded6e039e3b3c34f3947326604b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-07-14T16:32:53Z",
    "title_canon_sha256": "2fd625cf96908349bfc3168b889681e85a660bf91a59dd60df58e2a226f2ac0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2196",
    "kind": "arxiv",
    "version": 1
  }
}