Pith Number

pith:XYOIS3UZ

pith:2019:XYOIS3UZOI7GP5KPVMKS2HGBM3

not attested not anchored not stored refs pending

Preconditioners for Fractional Diffusion Equations Based on the Spectral Symbol

Nikos Barakitis, Paris Vassalos, Sven-Erik Ekstr\"om

arxiv:1912.13304 v3 · 2019-12-31 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYOIS3UZOI7GP5KPVMKS2HGBM3}

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	2026-07-05T04:11:22.491221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1c896e99723e67f54fab152d1cc166dcac4ee26af425ab0a5fa689ce16615e

Aliases

arxiv: 1912.13304 · arxiv_version: 1912.13304v3 · doi: 10.48550/arxiv.1912.13304 · pith_short_12: XYOIS3UZOI7G · pith_short_16: XYOIS3UZOI7GP5KP · pith_short_8: XYOIS3UZ

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/XYOIS3UZOI7GP5KPVMKS2HGBM3 \
  | 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: be1c896e99723e67f54fab152d1cc166dcac4ee26af425ab0a5fa689ce16615e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5982d7086232ebd5339a706d63cadeefb216f7405fe379dd21c5e58b8683ad60",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-31T13:44:58Z",
    "title_canon_sha256": "8df67244810c6f01fa09f1bc2f5a1e0dd9acf981e0ab421c0d4c4ee308f45827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.13304",
    "kind": "arxiv",
    "version": 3
  }
}