Pith Number

pith:QE6J35P7

pith:2008:QE6J35P7IOZGNMNB3ROB2XM5TE

not attested not anchored not stored refs pending

On spectral minimal partitions II, the case of the rectangle

B. Helffer, T. Hoffmann-Ostenhof, V. Bonnaillie-No\"el

arxiv:0809.3875 v1 · 2008-09-23 · math.SP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE6J35P7IOZGNMNB3ROB2XM5TE}

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	2026-06-03T22:06:10.201562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813c9df5ff43b266b1a1dc5c1d5d9d992fc95f6eb5164fbe5b798b026029cac0

Aliases

arxiv: 0809.3875 · arxiv_version: 0809.3875v1 · doi: 10.48550/arxiv.0809.3875 · pith_short_12: QE6J35P7IOZG · pith_short_16: QE6J35P7IOZGNMNB · pith_short_8: QE6J35P7

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/QE6J35P7IOZGNMNB3ROB2XM5TE \
  | 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: 813c9df5ff43b266b1a1dc5c1d5d9d992fc95f6eb5164fbe5b798b026029cac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11c7fdceb13321dffc9a36fb4bcd425ab58eadab455e6345b4e8831cb3bb72f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-09-23T10:14:21Z",
    "title_canon_sha256": "0b9ebda3dc335d408aabe3389e16145effde84ff7f96037f6620c40984982c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3875",
    "kind": "arxiv",
    "version": 1
  }
}