Pith Number

pith:A6OHUPBP

pith:2014:A6OHUPBPTDXBOPYF6E2VIULEP6

not attested not anchored not stored refs pending

On the Smallest Eigenvalue of Grounded Laplacian Matrices

Mohammad Pirani, Shreyas Sundaram

arxiv:1406.2271 v2 · 2014-06-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6OHUPBPTDXBOPYF6E2VIULEP6}

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	2026-05-18T02:48:16.965704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079c7a3c2f98ee173f05f1355451647f88d2a841aedbc2c34b4c4e2bdd80b91f

Aliases

arxiv: 1406.2271 · arxiv_version: 1406.2271v2 · doi: 10.48550/arxiv.1406.2271 · pith_short_12: A6OHUPBPTDXB · pith_short_16: A6OHUPBPTDXBOPYF · pith_short_8: A6OHUPBP

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/A6OHUPBPTDXBOPYF6E2VIULEP6 \
  | 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: 079c7a3c2f98ee173f05f1355451647f88d2a841aedbc2c34b4c4e2bdd80b91f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333e848bf03bda2ba73c97836b5c39f65db1088caf9d16b2552d14e932bd3c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-05T09:13:55Z",
    "title_canon_sha256": "477c5ba07f30fbeba51d060750b6213a5383f308ed02e7fe33e276fb9f115a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2271",
    "kind": "arxiv",
    "version": 2
  }
}