Pith Number

pith:V7FHWSUJ

pith:2016:V7FHWSUJPZHE7NICMMEVJOVECR

not attested not anchored not stored refs pending

Estimates of eigenvalues of Laplacian by a reduced number of subsets

Kei Funano

arxiv:1601.07581 v1 · 2016-01-27 · 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{V7FHWSUJPZHE7NICMMEVJOVECR}

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	2026-05-18T01:21:44.067524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afca7b4a897e4e4fb502630954baa41440fe8b70ddfed632b507e5c47fdd8697

Aliases

arxiv: 1601.07581 · arxiv_version: 1601.07581v1 · doi: 10.48550/arxiv.1601.07581 · pith_short_12: V7FHWSUJPZHE · pith_short_16: V7FHWSUJPZHE7NIC · pith_short_8: V7FHWSUJ

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/V7FHWSUJPZHE7NICMMEVJOVECR \
  | 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: afca7b4a897e4e4fb502630954baa41440fe8b70ddfed632b507e5c47fdd8697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30dfe79b89bb47f54a2969000e2a1e3b000036e7e03dafb7e2da1c6412e8808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-27T21:49:53Z",
    "title_canon_sha256": "50c7c4b52cfe22febdafa6c9fd7ac4de3f6c49bb3741540a906dc40be17536ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07581",
    "kind": "arxiv",
    "version": 1
  }
}