Pith Number

pith:LFC2JEKU

pith:2011:LFC2JEKU5FXEHDTZYT4YHH5R5Z

not attested not anchored not stored refs pending

Isoperimetric control of the Steklov spectrum

Ahmad El Soufi, Alexandre Girouard, Bruno Colbois

arxiv:1103.2863 v1 · 2011-03-15 · math.SP · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFC2JEKU5FXEHDTZYT4YHH5R5Z}

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	2026-05-18T04:01:39.691571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5945a49154e96e438e79c4f9839fb1ee79c25a5d71cfc19a070358d856ad2e06

Aliases

arxiv: 1103.2863 · arxiv_version: 1103.2863v1 · doi: 10.48550/arxiv.1103.2863 · pith_short_12: LFC2JEKU5FXE · pith_short_16: LFC2JEKU5FXEHDTZ · pith_short_8: LFC2JEKU

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/LFC2JEKU5FXEHDTZYT4YHH5R5Z \
  | 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: 5945a49154e96e438e79c4f9839fb1ee79c25a5d71cfc19a070358d856ad2e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9744fdc53a3b5bcf6319b1892db48693ac3bab201dc3d80a7523ebec16e2301f",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-15T09:49:34Z",
    "title_canon_sha256": "ecdf1de56c7ecc453df476e64c3b678a3453a394615669cb5e76662a39c85c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2863",
    "kind": "arxiv",
    "version": 1
  }
}