Pith Number

pith:EL32L35N

pith:2023:EL32L35N7WTZUH7TYF33Z77SHB

not attested not anchored not stored refs pending

M\"untz ball polynomials and M\"untz spectral-Galerkin methods for singular eigenvalue problems

Changtao Sheng, Huiyuan Li, Li-Lian Wang, Xiu Yang

arxiv:2303.05020 v1 · 2023-03-09 · 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{EL32L35N7WTZUH7TYF33Z77SHB}

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	2026-07-05T05:49:36.389434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f7a5efadfda79a1ff3c177bcfff23856ac7e96daf49dbd070b62f7a09251d3

Aliases

arxiv: 2303.05020 · arxiv_version: 2303.05020v1 · doi: 10.48550/arxiv.2303.05020 · pith_short_12: EL32L35N7WTZ · pith_short_16: EL32L35N7WTZUH7T · pith_short_8: EL32L35N

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/EL32L35N7WTZUH7TYF33Z77SHB \
  | 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: 22f7a5efadfda79a1ff3c177bcfff23856ac7e96daf49dbd070b62f7a09251d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430a3e03b51acd56765d7b1bb38a12c1b7459eb2e73c0f1f6ac59f71212a98fa",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-03-09T03:46:46Z",
    "title_canon_sha256": "6429fa57ece172805de98258a62cb914a6eb5a48a09d60d4a8f6122ba0d263c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05020",
    "kind": "arxiv",
    "version": 1
  }
}