Pith Number

pith:56YBSS24

pith:2018:56YBSS24JLXVBG624ZFNLIMJUE

not attested not anchored not stored refs pending

Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities

C. Olivera, J. Aragona, J.F. Colombeau, P. Catuogno, S.O. Juriaans

arxiv:1801.03527 v1 · 2018-01-10 · math-ph · math.FA · 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{56YBSS24JLXVBG624ZFNLIMJUE}

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	2026-05-18T00:26:14.012629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb0194b5c4aef509bdae64ad5a189a10b4d114f7718777210e89b2c4eb87d97

Aliases

arxiv: 1801.03527 · arxiv_version: 1801.03527v1 · doi: 10.48550/arxiv.1801.03527 · pith_short_12: 56YBSS24JLXV · pith_short_16: 56YBSS24JLXVBG62 · pith_short_8: 56YBSS24

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/56YBSS24JLXVBG624ZFNLIMJUE \
  | 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: efb0194b5c4aef509bdae64ad5a189a10b4d114f7718777210e89b2c4eb87d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66cac1d440180b1ded1b3ad3ece8a5669b5500e77a8b363817f0aa1dc8e827b4",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-10T19:36:33Z",
    "title_canon_sha256": "fa1db793801bc2daf1cecdf130c12d10bdaafb2cb03854e138289cb80a0b34fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03527",
    "kind": "arxiv",
    "version": 1
  }
}