Pith Number

pith:H4IH473D

pith:2013:H4IH473DZXHB2XRBC6NC43BIFI

not attested not anchored not stored refs pending

Eigenvalues of Laplacian and multi-way isoperimetric constants on weighted Riemannian manifolds

Kei Funano

arxiv:1307.3919 v1 · 2013-07-15 · 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{H4IH473DZXHB2XRBC6NC43BIFI}

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	2026-05-18T03:18:27.444264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f107e7f63cdce1d5e21179a2e6c282a0590edfdad028b74bd6312bcda163387

Aliases

arxiv: 1307.3919 · arxiv_version: 1307.3919v1 · doi: 10.48550/arxiv.1307.3919 · pith_short_12: H4IH473DZXHB · pith_short_16: H4IH473DZXHB2XRB · pith_short_8: H4IH473D

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/H4IH473DZXHB2XRBC6NC43BIFI \
  | 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: 3f107e7f63cdce1d5e21179a2e6c282a0590edfdad028b74bd6312bcda163387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b53a93b8216dd48aae478bf5b62df68b5aab6fff9a421e2f1af0dd49a3e878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-15T13:01:37Z",
    "title_canon_sha256": "35edd8817e1a082111318589db0999dd8dc3c9d6e21678437dbc75cd2eb441b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3919",
    "kind": "arxiv",
    "version": 1
  }
}