Pith Number

pith:GYPVTIZ4

pith:2021:GYPVTIZ46OEU5VZJZT6ULC2MEU

not attested not anchored not stored refs pending

A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions

Haizhao Yang, Jie Shen, Jingwei Hu, Xiaodong Huang

arxiv:2105.08806 v1 · 2021-05-18 · 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{GYPVTIZ46OEU5VZJZT6ULC2MEU}

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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.

Cited by

1 paper in Pith

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks

Receipt and verification

First computed	2026-07-05T02:41:33.796180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361f59a33cf3894ed729ccfd458b4c253b245529a7df03ad601b6d6586f1f46e

Aliases

arxiv: 2105.08806 · arxiv_version: 2105.08806v1 · doi: 10.48550/arxiv.2105.08806 · pith_short_12: GYPVTIZ46OEU · pith_short_16: GYPVTIZ46OEU5VZJ · pith_short_8: GYPVTIZ4

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/GYPVTIZ46OEU5VZJZT6ULC2MEU \
  | 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: 361f59a33cf3894ed729ccfd458b4c253b245529a7df03ad601b6d6586f1f46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f46f9866edca7dbc5b3f596dda79ac767f2f89c67abfa0f529ea05153566eb7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-05-18T19:49:41Z",
    "title_canon_sha256": "1d0b342fa9d525d8ffa91c416f559838bfce590f9009c3511698c9b8afa89e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08806",
    "kind": "arxiv",
    "version": 1
  }
}