pith. sign in
Pith Number

pith:STTFHW55

pith:2019:STTFHW554RRHSVMPK7WXHHHQIK
not attested not anchored not stored refs pending

Dual Numbers and Operational Umbral Methods

Ambra Lattanzi, Giuseppe Dattoli, Nicolas Behr, Silvia Licciardi

arxiv:1905.09931 v1 · 2019-05-22 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{STTFHW554RRHSVMPK7WXHHHQIK}

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 2026-05-17T23:45:13.974503Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

94e653dbbde46279558f57ed739cf0429b80b44856bf6d2cb5342692e91d5747

Aliases

arxiv: 1905.09931 · arxiv_version: 1905.09931v1 · doi: 10.48550/arxiv.1905.09931 · pith_short_12: STTFHW554RRH · pith_short_16: STTFHW554RRHSVMP · pith_short_8: STTFHW55
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/STTFHW554RRHSVMPK7WXHHHQIK \
  | 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: 94e653dbbde46279558f57ed739cf0429b80b44856bf6d2cb5342692e91d5747
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b31f8c1c4a36a41f2a991930ffbdd51687db474e3c9966f26bf126f721aa28f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-05-22T12:22:06Z",
    "title_canon_sha256": "412561d662e50f12a720fa5a7e19af4b87bccd03a178d8619c929a4295446af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09931",
    "kind": "arxiv",
    "version": 1
  }
}