Pith Number

pith:I3BMRA4H

pith:2024:I3BMRA4HHZEBA2ESSO7FG262NC

not attested not anchored not stored refs pending

The ultraspherical rectangular collocation method and its convergence

Thomas Trogdon

arxiv:2401.03608 v1 · 2024-01-07 · 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{I3BMRA4HHZEBA2ESSO7FG262NC}

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.

Cited by

1 paper in Pith

Achieving Tokenizer Flexibility in Language Models through Heuristic Adaptation and Supertoken Learning

Receipt and verification

First computed	2026-07-05T07:31:11.479493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c2c883873e4810689293be536bda68b5f7ba721f2549861d5e02476cafb2ad

Aliases

arxiv: 2401.03608 · arxiv_version: 2401.03608v1 · doi: 10.48550/arxiv.2401.03608 · pith_short_12: I3BMRA4HHZEB · pith_short_16: I3BMRA4HHZEBA2ES · pith_short_8: I3BMRA4H

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/I3BMRA4HHZEBA2ESSO7FG262NC \
  | 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: 46c2c883873e4810689293be536bda68b5f7ba721f2549861d5e02476cafb2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01bc2dbf3e1d1fb8b91ca8c2878f68f4be38a625847a8e2147a076f76f0583a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-01-07T23:35:48Z",
    "title_canon_sha256": "877526d7292e8b916a4b9beea68bace0c8aa3e7c9af478f222cc6cac706a184d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.03608",
    "kind": "arxiv",
    "version": 1
  }
}