Pith Number

pith:3SVYSYM6

pith:2018:3SVYSYM66ZFZSWJCFV5GH2ZCHS

not attested not anchored not stored refs pending

Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure

Bobo Hua, Matthias Keller, Melchior Wirth, Michael Schwarz

arxiv:1804.08353 v1 · 2018-04-23 · math.SP · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SVYSYM66ZFZSWJCFV5GH2ZCHS}

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	2026-05-18T00:17:48.664570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcab89619ef64b9959222d7a63eb223caf3ab977fde2b52747d2fc60511d50be

Aliases

arxiv: 1804.08353 · arxiv_version: 1804.08353v1 · doi: 10.48550/arxiv.1804.08353 · pith_short_12: 3SVYSYM66ZFZ · pith_short_16: 3SVYSYM66ZFZSWJC · pith_short_8: 3SVYSYM6

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/3SVYSYM66ZFZSWJCFV5GH2ZCHS \
  | 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: dcab89619ef64b9959222d7a63eb223caf3ab977fde2b52747d2fc60511d50be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63cf8d64e680a794ae4f2af4a19ca3158ed86fa41fcfcf99f6d6f3954272e39f",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-23T11:54:47Z",
    "title_canon_sha256": "35c19723088c4007b32017af3bde3644de2269aca9ec5c4e1030837ae2dbc589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08353",
    "kind": "arxiv",
    "version": 1
  }
}