Pith Number

pith:IWCE7GG7

pith:2018:IWCE7GG72VIGGADZBWHW4TBZB4

not attested not anchored not stored refs pending

How can we naturally order and organize graph Laplacian eigenvectors?

Naoki Saito

arxiv:1801.06782 v2 · 2018-01-21 · math.SP · cs.DM · cs.SI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWCE7GG72VIGGADZBWHW4TBZB4}

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	2026-05-18T00:17:30.501048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45844f98dfd5506300790d8f6e4c390f1e421eda3856370a381585dd9793866b

Aliases

arxiv: 1801.06782 · arxiv_version: 1801.06782v2 · doi: 10.48550/arxiv.1801.06782 · pith_short_12: IWCE7GG72VIG · pith_short_16: IWCE7GG72VIGGADZ · pith_short_8: IWCE7GG7

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/IWCE7GG72VIGGADZBWHW4TBZB4 \
  | 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: 45844f98dfd5506300790d8f6e4c390f1e421eda3856370a381585dd9793866b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959618df371a8409ee97be5eb0b3d993196b2d489b704e77629353e2e322b03c",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-01-21T07:46:39Z",
    "title_canon_sha256": "7f2defd25e25b5a0b0bf3a49f0bf1c4574c01f18ceb7898299e0d3797ecbea1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06782",
    "kind": "arxiv",
    "version": 2
  }
}