Pith Number

pith:TQ4M2VF4

pith:2022:TQ4M2VF4ZWEIQWWW5QW4HQ3TTX

not attested not anchored not stored refs pending

Reduced basis stochastic Galerkin methods for partial differential equations with random inputs

Guanjie Wang, Qifeng Liao

arxiv:2209.12163 v3 · 2022-09-25 · 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{TQ4M2VF4ZWEIQWWW5QW4HQ3TTX}

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	2026-07-05T06:55:38.106630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c38cd54bccd88885ad6ec2dc3c3739dd1dc660eb41df2f8b7fa2c64e8006570

Aliases

arxiv: 2209.12163 · arxiv_version: 2209.12163v3 · doi: 10.48550/arxiv.2209.12163 · pith_short_12: TQ4M2VF4ZWEI · pith_short_16: TQ4M2VF4ZWEIQWWW · pith_short_8: TQ4M2VF4

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/TQ4M2VF4ZWEIQWWW5QW4HQ3TTX \
  | 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: 9c38cd54bccd88885ad6ec2dc3c3739dd1dc660eb41df2f8b7fa2c64e8006570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d005050f06a0e1f777fbc2be72285d086789cfa06c18d977a38ff3affd750768",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-09-25T06:44:20Z",
    "title_canon_sha256": "02e62ba0ebde7cd0bc0d1ca357e0768aa828be650ac803833b2c0ed5d23127cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12163",
    "kind": "arxiv",
    "version": 3
  }
}