pith. sign in
Pith Number

pith:GR3TDFHJ

pith:2019:GR3TDFHJLDTZILI4KIGBMXAYXT
not attested not anchored not stored refs pending

Distribution Probability of Force for a Physical System of N Random Particles

A. D. Figueiredo, M. A. Amato, T. M. da Rocha Filho

arxiv:1906.07477 v1 · 2019-06-18 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GR3TDFHJLDTZILI4KIGBMXAYXT}

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 2026-05-17T23:39:53.508619Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

34773194e958e7942d1c520c165c18bce5e93191bb492fa742507524d5b2dfc5

Aliases

arxiv: 1906.07477 · arxiv_version: 1906.07477v1 · doi: 10.48550/arxiv.1906.07477 · pith_short_12: GR3TDFHJLDTZ · pith_short_16: GR3TDFHJLDTZILI4 · pith_short_8: GR3TDFHJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GR3TDFHJLDTZILI4KIGBMXAYXT \
  | 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: 34773194e958e7942d1c520c165c18bce5e93191bb492fa742507524d5b2dfc5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3f9968226f3206321cf9621d277cff73cf8f016c358117a06d38e0407c399199",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-18T10:15:37Z",
    "title_canon_sha256": "f1765ac62ce681e315603a2841c9f2e79e1670d5aec0524d6954570e498b1cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07477",
    "kind": "arxiv",
    "version": 1
  }
}