Pith Number

pith:FJWZWZOO

pith:2017:FJWZWZOOLDQJK5OSOAF6K22XOW

not attested not anchored not stored refs pending

Random Lie-point symmetries of stochastic differential equations

Francesco Spadaro, Giuseppe Gaeta

arxiv:1705.08873 v2 · 2017-05-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJWZWZOOLDQJK5OSOAF6K22XOW}

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	2026-05-18T00:30:59.823846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6d9b65ce58e09575d2700be56b5775827274fc49d739283172d3c587144bc9

Aliases

arxiv: 1705.08873 · arxiv_version: 1705.08873v2 · doi: 10.48550/arxiv.1705.08873 · pith_short_12: FJWZWZOOLDQJ · pith_short_16: FJWZWZOOLDQJK5OS · pith_short_8: FJWZWZOO

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/FJWZWZOOLDQJK5OSOAF6K22XOW \
  | 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: 2a6d9b65ce58e09575d2700be56b5775827274fc49d739283172d3c587144bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10deb0f791fdd0adcce53c75d04716cc9c44d0bf860832cf17c1ace81a48a61",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-24T17:21:14Z",
    "title_canon_sha256": "e63a8d9e55b2f6f197902a9972d9da005cbbfeee610bfe17dd8dff617a2bba13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08873",
    "kind": "arxiv",
    "version": 2
  }
}