Pith Number

pith:GE6MT6WI

pith:2019:GE6MT6WIX6FP6IS2I243BJW54F

not attested not anchored not stored refs pending

Operational vs. Umbral Methods and Borel Transform

Giuseppe Dattoli, Silvia Licciardi

arxiv:1908.04160 v1 · 2019-08-12 · 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{GE6MT6WIX6FP6IS2I243BJW54F}

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	2026-07-04T23:53:21.181309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313cc9fac8bf8aff225a46b9b0a6dde16e4dafcc1e9b1711ed0eafb79e4c6053

Aliases

arxiv: 1908.04160 · arxiv_version: 1908.04160v1 · doi: 10.48550/arxiv.1908.04160 · pith_short_12: GE6MT6WIX6FP · pith_short_16: GE6MT6WIX6FP6IS2 · pith_short_8: GE6MT6WI

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/GE6MT6WIX6FP6IS2I243BJW54F \
  | 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: 313cc9fac8bf8aff225a46b9b0a6dde16e4dafcc1e9b1711ed0eafb79e4c6053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83080d92b5eb7f808eb4236a5c6a26de08af82e60711bc455a429a201dd868f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-12T14:12:59Z",
    "title_canon_sha256": "29196cd54b0a761c9c2f9e059bbb68e9e758c2c5dc4b57a209a22d8acc6aaa0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04160",
    "kind": "arxiv",
    "version": 1
  }
}