Pith Number

pith:MB6YELBW

pith:2018:MB6YELBWBY2L2H36QQQUFHFNRB

not attested not anchored not stored refs pending

Optimal Graph Laplacian

Kazuhiro Sato

arxiv:1802.06482 v2 · 2018-02-19 · 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{MB6YELBWBY2L2H36QQQUFHFNRB}

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	2026-05-18T00:12:53.193416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607d822c360e34bd1f7e8421429cad885a036dacc32e873730c5a90135144241

Aliases

arxiv: 1802.06482 · arxiv_version: 1802.06482v2 · doi: 10.48550/arxiv.1802.06482 · pith_short_12: MB6YELBWBY2L · pith_short_16: MB6YELBWBY2L2H36 · pith_short_8: MB6YELBW

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/MB6YELBWBY2L2H36QQQUFHFNRB \
  | 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: 607d822c360e34bd1f7e8421429cad885a036dacc32e873730c5a90135144241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c563c77d9c74369d89a0c5b594792a3c37c37f39c9fbc9e3398457ea5996ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-19T01:34:08Z",
    "title_canon_sha256": "49ff222e5d5df3cb8fa600e8ab94b87ff13c624390d385cb2cdbb593e111edce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06482",
    "kind": "arxiv",
    "version": 2
  }
}