Pith Number

pith:56LDY7EZ

pith:2012:56LDY7EZJ423BFETN34VZQPHM6

not attested not anchored not stored refs pending

A note on self-adjoint extensions of the Laplacian on weighted graphs

Jun Masamune, Matthias Keller, Rados{\l}aw K. Wojciechowski, Xueping Huang

arxiv:1208.6358 v2 · 2012-08-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56LDY7EZJ423BFETN34VZQPHM6}

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	2026-05-18T03:19:35.244688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef963c7c994f35b094936ef95cc1e76787b1ca559944ed84e2b4712785a62156

Aliases

arxiv: 1208.6358 · arxiv_version: 1208.6358v2 · doi: 10.48550/arxiv.1208.6358 · pith_short_12: 56LDY7EZJ423 · pith_short_16: 56LDY7EZJ423BFET · pith_short_8: 56LDY7EZ

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/56LDY7EZJ423BFETN34VZQPHM6 \
  | 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: ef963c7c994f35b094936ef95cc1e76787b1ca559944ed84e2b4712785a62156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7342c49a21b0597dfb57353e7fa8fff520c4bfb87fc29041a7c5b37c09dda819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-31T03:34:16Z",
    "title_canon_sha256": "396ff18e60d17c012fa9edc5f2c4b1ecba36c81c741bae8881e3a29b289acb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6358",
    "kind": "arxiv",
    "version": 2
  }
}