Pith Number

pith:3E2NY5SR

pith:2008:3E2NY5SROGWPKIWR6T5UL7AK3W

not attested not anchored not stored refs pending

Shape optimization for low Neumann and Steklov eigenvalues

Alexandre Girouard, Iosif Polterovich

arxiv:0811.2617 v1 · 2008-11-17 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E2NY5SROGWPKIWR6T5UL7AK3W}

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	2026-05-18T04:01:39.851021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d934dc765171acf522d1f4fb45fc0add8a8bbb2cb149825fb67d95773912268a

Aliases

arxiv: 0811.2617 · arxiv_version: 0811.2617v1 · doi: 10.48550/arxiv.0811.2617 · pith_short_12: 3E2NY5SROGWP · pith_short_16: 3E2NY5SROGWPKIWR · pith_short_8: 3E2NY5SR

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/3E2NY5SROGWPKIWR6T5UL7AK3W \
  | 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: d934dc765171acf522d1f4fb45fc0add8a8bbb2cb149825fb67d95773912268a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e421a0c64c8ad05180d04ff4898b99441f416884d52204ab3a5736fbf6426775",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-11-17T03:10:23Z",
    "title_canon_sha256": "c0d348b0e5b36f71b93ef81076e40dd1f65febd36c7cbc839cad3c60dc26f361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2617",
    "kind": "arxiv",
    "version": 1
  }
}