Pith Number

pith:OR6FEB3T

pith:2014:OR6FEB3T6VUOWJIMBCNB2HPRBU

not attested not anchored not stored refs pending

Tree simplification and the 'plateaux' phenomenon of graph Laplacian eigenvalues

Ernest Woei, Naoki Saito

arxiv:1410.7842 v1 · 2014-10-29 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OR6FEB3T6VUOWJIMBCNB2HPRBU}

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	2026-05-18T02:39:08.093868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747c520773f568eb250c089a1d1df10d1eddaca21c7da2a319522f988fd032d2

Aliases

arxiv: 1410.7842 · arxiv_version: 1410.7842v1 · doi: 10.48550/arxiv.1410.7842 · pith_short_12: OR6FEB3T6VUO · pith_short_16: OR6FEB3T6VUOWJIM · pith_short_8: OR6FEB3T

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/OR6FEB3T6VUOWJIMBCNB2HPRBU \
  | 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: 747c520773f568eb250c089a1d1df10d1eddaca21c7da2a319522f988fd032d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974751294e088e6e8e69a934a244f5e26a1729a2ba8bee80425cd2b5ee2aca0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-10-29T00:24:10Z",
    "title_canon_sha256": "543467efb3bf6c744713627109350096827005c46ebbfb6377ed2691bc3c7a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7842",
    "kind": "arxiv",
    "version": 1
  }
}