Pith Number

pith:SHBE4Q5N

pith:2013:SHBE4Q5NAPHSECMFEGSTVCZ43N

not attested not anchored not stored refs pending

Extremal domains for the first eigenvalue in a general Riemannian manifold

Erwann Delay, Pieralberto Sicbaldi

arxiv:1302.4221 v1 · 2013-02-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHBE4Q5NAPHSECMFEGSTVCZ43N}

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	2026-05-18T03:33:23.664614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c24e43ad03cf22098521a53a8b3cdb42d26df202d354f11f4ff03c96d79279

Aliases

arxiv: 1302.4221 · arxiv_version: 1302.4221v1 · doi: 10.48550/arxiv.1302.4221 · pith_short_12: SHBE4Q5NAPHS · pith_short_16: SHBE4Q5NAPHSECMF · pith_short_8: SHBE4Q5N

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/SHBE4Q5NAPHSECMFEGSTVCZ43N \
  | 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: 91c24e43ad03cf22098521a53a8b3cdb42d26df202d354f11f4ff03c96d79279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd6e221fbea37d403b56620bea67be5af490ea6bbbcd15c6d904f098fe14408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-18T10:53:22Z",
    "title_canon_sha256": "61680478ee67c04cf1956a4e48db5ba221180d4de27f73b5d633903d6de211b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4221",
    "kind": "arxiv",
    "version": 1
  }
}