Pith Number

pith:XPK3AZP5

pith:2020:XPK3AZP5U4BVHWAZZVIIPZGGNB

not attested not anchored not stored refs pending

Generalised Hermite spectral methods for PDEs involving integral fractional Laplacian and Schr\"{o}dinger operators

Changtao Sheng, Huiyuan Li, Li-Lian Wang, Lueling Jia, Suna Ma

arxiv:2002.05334 v2 · 2020-02-13 · 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{XPK3AZP5U4BVHWAZZVIIPZGGNB}

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	2026-07-05T01:45:25.412653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd5b065fda70353d819cd5087e4c6687d5fae8c56c0ae00a95734cae4a8132b

Aliases

arxiv: 2002.05334 · arxiv_version: 2002.05334v2 · doi: 10.48550/arxiv.2002.05334 · pith_short_12: XPK3AZP5U4BV · pith_short_16: XPK3AZP5U4BVHWAZ · pith_short_8: XPK3AZP5

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/XPK3AZP5U4BVHWAZZVIIPZGGNB \
  | 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: bbd5b065fda70353d819cd5087e4c6687d5fae8c56c0ae00a95734cae4a8132b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce48fc03234a284c78e83b1dc93aa636acb997c14bba2b1b197d42660acd358",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-02-13T04:18:23Z",
    "title_canon_sha256": "c41bd76eefd097b1c1cba5238264b502969e36cb9d7129fe29c4b298f78e3d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05334",
    "kind": "arxiv",
    "version": 2
  }
}