Pith Number

pith:H3D24V6F

pith:2014:H3D24V6FOALBZ33OVRL72ZNEP5

not attested not anchored not stored refs pending

Essential spectrum and Weyl asymptotics for discrete Laplacians

Michel Bonnefont (IMB), Sylvain Golenia (IMB)

arxiv:1406.5391 v1 · 2014-06-20 · math.SP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3D24V6FOALBZ33OVRL72ZNEP5}

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	2026-05-18T02:49:19.223923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec7ae57c570161cef6eac57fd65a47f6d2e82f4f82145f1cb23258608d8bab8

Aliases

arxiv: 1406.5391 · arxiv_version: 1406.5391v1 · doi: 10.48550/arxiv.1406.5391 · pith_short_12: H3D24V6FOALB · pith_short_16: H3D24V6FOALBZ33O · pith_short_8: H3D24V6F

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/H3D24V6FOALBZ33OVRL72ZNEP5 \
  | 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: 3ec7ae57c570161cef6eac57fd65a47f6d2e82f4f82145f1cb23258608d8bab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a55eaa5ecef03ccda61e941dab64084052fb1ebee64fd56aa61c05cb5bfae3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-20T14:01:03Z",
    "title_canon_sha256": "7d917074eed599054679e0ec5a121316df45fd2c051286ecee45e8350fe3e01b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5391",
    "kind": "arxiv",
    "version": 1
  }
}