Pith Number

pith:TDWWWAQI

pith:2015:TDWWWAQIO7T4TKBHHOFIEAM7FE

not attested not anchored not stored refs pending

Voronovskaja type asymptotic approximation by general gamma type operators

Alok Kumar

arxiv:1508.04897 v1 · 2015-08-20 · math.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{TDWWWAQIO7T4TKBHHOFIEAM7FE}

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	2026-05-18T01:32:52.027190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ed6b020877e7c9a8273b8a82019f290e494480163b620baf8b89f7c8b7ded0

Aliases

arxiv: 1508.04897 · arxiv_version: 1508.04897v1 · doi: 10.48550/arxiv.1508.04897 · pith_short_12: TDWWWAQIO7T4 · pith_short_16: TDWWWAQIO7T4TKBH · pith_short_8: TDWWWAQI

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/TDWWWAQIO7T4TKBHHOFIEAM7FE \
  | 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: 98ed6b020877e7c9a8273b8a82019f290e494480163b620baf8b89f7c8b7ded0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee20a51aac328cd769dda9783bee7d9c58b9b1911987548b58695db9c08815e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-20T07:14:30Z",
    "title_canon_sha256": "46a8f146d4d35e02fc02566709653ff74eae7886bd80180a0dde783c0ba020fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04897",
    "kind": "arxiv",
    "version": 1
  }
}