Pith Number

pith:E7SLARAA

pith:2011:E7SLARAA7ANGX2IB6OL5SMXSVR

not attested not anchored not stored refs pending

Extremum problems for eigenvalues of discrete Laplace operators

Ren Guo

arxiv:1106.5844 v1 · 2011-06-29 · math.MG · 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{E7SLARAA7ANGX2IB6OL5SMXSVR}

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	2026-05-18T04:19:05.065591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e4b04400f81a6be901f397d932f2ac45487bd1017413f8b8650d7afbe5c929

Aliases

arxiv: 1106.5844 · arxiv_version: 1106.5844v1 · doi: 10.48550/arxiv.1106.5844 · pith_short_12: E7SLARAA7ANG · pith_short_16: E7SLARAA7ANGX2IB · pith_short_8: E7SLARAA

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/E7SLARAA7ANGX2IB6OL5SMXSVR \
  | 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: 27e4b04400f81a6be901f397d932f2ac45487bd1017413f8b8650d7afbe5c929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5613f503680d2ef2d990cab7a7534601b4d3b0e3cae739b3d8ee2c4cf8876d8d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-06-29T05:40:59Z",
    "title_canon_sha256": "5569d78f1af74c8d9f335069f58907335c8d9e6b0777d6910c6ba9d888f5b89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5844",
    "kind": "arxiv",
    "version": 1
  }
}