Pith Number

pith:27BML4RG

pith:2019:27BML4RG2RJF2RUWDMCYSIV5E2

not attested not anchored not stored refs pending

Universal lower bounds for Laplacians on weighted graphs

Daniel Lenz, Peter Stollmann

arxiv:1903.02382 v1 · 2019-03-06 · 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{27BML4RG2RJF2RUWDMCYSIV5E2}

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	2026-05-17T23:51:55.445198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c2c5f226d4525d46961b058922bd2685fafb92144fe5ed39db553ac447a632

Aliases

arxiv: 1903.02382 · arxiv_version: 1903.02382v1 · doi: 10.48550/arxiv.1903.02382 · pith_short_12: 27BML4RG2RJF · pith_short_16: 27BML4RG2RJF2RUW · pith_short_8: 27BML4RG

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/27BML4RG2RJF2RUWDMCYSIV5E2 \
  | 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: d7c2c5f226d4525d46961b058922bd2685fafb92144fe5ed39db553ac447a632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eaf9aea7aaac96b12c4bd61a61d4e173bd90bd9609387e805a9e438f9975464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-06T13:54:14Z",
    "title_canon_sha256": "aa75f2195ff9dd9134bf553c84a8b9724690fb01fb54f9c5c29065436cfaa65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02382",
    "kind": "arxiv",
    "version": 1
  }
}