Pith Number

pith:4TO27EZK

pith:2007:4TO27EZKCIJ5FJ4UYLGVQDJRPJ

not attested not anchored not stored refs pending

Extrema of low eigenvalues of the Dirichlet-Neumann Laplacian on a disk

Eveline Legendre

arxiv:0708.3489 v1 · 2007-08-26 · 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{4TO27EZKCIJ5FJ4UYLGVQDJRPJ}

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	2026-05-18T04:34:37.628566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ddaf932a1213d2a794c2cd580d317a62d867e1447b5c637b2df1d9f603fbd3

Aliases

arxiv: 0708.3489 · arxiv_version: 0708.3489v1 · doi: 10.48550/arxiv.0708.3489 · pith_short_12: 4TO27EZKCIJ5 · pith_short_16: 4TO27EZKCIJ5FJ4U · pith_short_8: 4TO27EZK

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/4TO27EZKCIJ5FJ4UYLGVQDJRPJ \
  | 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: e4ddaf932a1213d2a794c2cd580d317a62d867e1447b5c637b2df1d9f603fbd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42abe16d32a2c75a3c8309ea921f59e336665e5baab4f11ee14774416ce29c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-08-26T17:19:04Z",
    "title_canon_sha256": "6fc6844357c42dae76be8c852b4b4d5301165ef29f5fb707d0dd135e049eced9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3489",
    "kind": "arxiv",
    "version": 1
  }
}