Pith Number

pith:C6Q2S4LE

pith:2015:C6Q2S4LEADXDQU67CUG7HW2A5S

not attested not anchored not stored refs pending

Global approximation theorems for general gamma type operators

Alok Kumar

arxiv:1508.06883 v1 · 2015-08-21 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6Q2S4LEADXDQU67CUG7HW2A5S}

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	2026-05-18T01:34:40.643397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a1a9716400ee3853df150df3db40ec977fa88cb2bef789c57aa9aff00e0816

Aliases

arxiv: 1508.06883 · arxiv_version: 1508.06883v1 · doi: 10.48550/arxiv.1508.06883 · pith_short_12: C6Q2S4LEADXD · pith_short_16: C6Q2S4LEADXDQU67 · pith_short_8: C6Q2S4LE

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/C6Q2S4LEADXDQU67CUG7HW2A5S \
  | 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: 17a1a9716400ee3853df150df3db40ec977fa88cb2bef789c57aa9aff00e0816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4421ddedb7f73c594063b67ef52afe36bf2b143537fb40d1c086e4f09b398cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-08-21T04:31:00Z",
    "title_canon_sha256": "85b3e72760a89d314e8c34c35e0243e463fc33c73150f6a1c7abd7226b531849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06883",
    "kind": "arxiv",
    "version": 1
  }
}