Pith Number

pith:T4HJYF3R

pith:2013:T4HJYF3R63H5U2ISFFDMSODVJW

not attested not anchored not stored refs pending

On Some Operators Involving Hadamard Derivatives

Federico Polito, Roberto Garra

arxiv:1304.1058 v1 · 2013-03-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4HJYF3R63H5U2ISFFDMSODVJW}

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	2026-05-18T02:48:55.021786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0e9c1771f6cfda69122946c938754dbd21601553994af0bfe38098972abd7b

Aliases

arxiv: 1304.1058 · arxiv_version: 1304.1058v1 · doi: 10.48550/arxiv.1304.1058 · pith_short_12: T4HJYF3R63H5 · pith_short_16: T4HJYF3R63H5U2IS · pith_short_8: T4HJYF3R

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/T4HJYF3R63H5U2ISFFDMSODVJW \
  | 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: 9f0e9c1771f6cfda69122946c938754dbd21601553994af0bfe38098972abd7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5b482281b1e50ea08155f2c347bd2c4ff5e1c8a057fa719753753f59368865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-26T22:49:19Z",
    "title_canon_sha256": "9c51e9b41827a799590479fb1afeb6d09b67cde9e73b328cc64f1d75573021fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1058",
    "kind": "arxiv",
    "version": 1
  }
}