Pith Number

pith:Z7C2H4I2

pith:2015:Z7C2H4I24FUABFOOEMXJ7NWTIP

not attested not anchored not stored refs pending

Operational versus umbral methods and the Borel transform

A. Horzela, E. Di Palma, E. Sabia, G. Dattoli, K. A. Penson, K. G\'orska

arxiv:1510.01204 v3 · 2015-10-05 · 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{Z7C2H4I24FUABFOOEMXJ7NWTIP}

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	2026-05-17T23:44:33.231777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc5a3f11ae1680095ce232e9fb6d343e929025060f18d6bee4f6844c520fd93

Aliases

arxiv: 1510.01204 · arxiv_version: 1510.01204v3 · doi: 10.48550/arxiv.1510.01204 · pith_short_12: Z7C2H4I24FUA · pith_short_16: Z7C2H4I24FUABFOO · pith_short_8: Z7C2H4I2

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/Z7C2H4I24FUABFOOEMXJ7NWTIP \
  | 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: cfc5a3f11ae1680095ce232e9fb6d343e929025060f18d6bee4f6844c520fd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ea91252268e00dbe3ae244f5edd0b1fe21297067c10d8b7b72a3d18c96666f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-05T16:14:06Z",
    "title_canon_sha256": "519b6a3eda2838b5fe80587cc820a9d81702dc4e2b0b3fa097854ed38f717711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01204",
    "kind": "arxiv",
    "version": 3
  }
}