Pith Number

pith:KHBMMRJ3

pith:2018:KHBMMRJ32UGWSQXD4FNABZMJ7Y

not attested not anchored not stored refs pending

Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice

Aleksandra Puchalska, Ehsan Hameed, Ernesto Estrada, Matthias Langer

arxiv:1802.00719 v2 · 2018-02-02 · 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{KHBMMRJ32UGWSQXD4FNABZMJ7Y}

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	2026-05-18T00:11:18.016250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c2c6453bd50d6942e3e15a00e589fe02593deb064197a6c69a19f5c3c97d93

Aliases

arxiv: 1802.00719 · arxiv_version: 1802.00719v2 · doi: 10.48550/arxiv.1802.00719 · pith_short_12: KHBMMRJ32UGW · pith_short_16: KHBMMRJ32UGWSQXD · pith_short_8: KHBMMRJ3

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/KHBMMRJ32UGWSQXD4FNABZMJ7Y \
  | 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: 51c2c6453bd50d6942e3e15a00e589fe02593deb064197a6c69a19f5c3c97d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443587a32462a01af37c58b1fa136d0dc44955ba2990c041d55348daff4493ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-02T15:10:09Z",
    "title_canon_sha256": "b7f2f3eb7a5fdbff04db623db9c5c5fa6ed69a61cbcff4c64603bbaefb79978a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00719",
    "kind": "arxiv",
    "version": 2
  }
}