Pith Number

pith:PNFISJRR

pith:2014:PNFISJRRT7PJLCKPKBXJ2N2SDR

not attested not anchored not stored refs pending

On the Definiteness of the Weighted Laplacian and its Connection to Effective Resistance

Daniel Zelazo, Mathias B\"urger

arxiv:1408.2187 v1 · 2014-08-10 · 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{PNFISJRRT7PJLCKPKBXJ2N2SDR}

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	2026-05-18T02:25:55.988219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4a8926319fde95894f506e9d37521c6824430041e5184fe677f0fa4c2710a8

Aliases

arxiv: 1408.2187 · arxiv_version: 1408.2187v1 · doi: 10.48550/arxiv.1408.2187 · pith_short_12: PNFISJRRT7PJ · pith_short_16: PNFISJRRT7PJLCKP · pith_short_8: PNFISJRR

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/PNFISJRRT7PJLCKPKBXJ2N2SDR \
  | 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: 7b4a8926319fde95894f506e9d37521c6824430041e5184fe677f0fa4c2710a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6930a9bce7f6ed45bd662a91f0edb4c5db1b4900412904122b46a7a1490c306a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-10T06:08:02Z",
    "title_canon_sha256": "f866342f9bbb3efb3ee14138df7cad40a374f86bb4685f14fb18cdc360b8bdfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2187",
    "kind": "arxiv",
    "version": 1
  }
}