Pith Number

pith:UEOCF3ZN

pith:2012:UEOCF3ZNKBGNRZZUZ4KV6OMHIS

not attested not anchored not stored refs pending

On Abel summability of Jacobi polynomials series, the Watson Kernel and applications

Calixto P. Calder\'on, Wilfredo Urbina

arxiv:1207.4524 v1 · 2012-07-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEOCF3ZNKBGNRZZUZ4KV6OMHIS}

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	2026-05-18T03:50:36.776011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11c22ef2d504cd8e734cf155f3987448fbecd2fb4d695dfad93d46358f44c7b

Aliases

arxiv: 1207.4524 · arxiv_version: 1207.4524v1 · doi: 10.48550/arxiv.1207.4524 · pith_short_12: UEOCF3ZNKBGN · pith_short_16: UEOCF3ZNKBGNRZZU · pith_short_8: UEOCF3ZN

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/UEOCF3ZNKBGNRZZUZ4KV6OMHIS \
  | 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: a11c22ef2d504cd8e734cf155f3987448fbecd2fb4d695dfad93d46358f44c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c530af9a2f03e2a2df0cf9f3bf5bef248a5c151bb6ca7560b6b3ba0ff60235d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-18T23:42:26Z",
    "title_canon_sha256": "2240f48cbbc93cebffd14d230dbfeb4bff130dd760eba3d370c55c9622bdec72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4524",
    "kind": "arxiv",
    "version": 1
  }
}