pith. sign in
Pith Number

pith:FUAW6S6E

pith:2010:FUAW6S6E3XIWSPX5ST5IBWDQIP
not attested not anchored not stored refs pending

Linear theory and violent relaxation in long-range systems: a test case

Marie-Christine Firpo, Wahb Ettoumi

arxiv:1011.2870 v2 · 2010-11-12 · math-ph · math.MP · physics.data-an · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FUAW6S6E3XIWSPX5ST5IBWDQIP}

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 2026-05-18T03:25:33.615702Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d016f4bc4ddd1693efd94fa80d87043fd48e165724e9fa24880fa7acfc7916c

Aliases

arxiv: 1011.2870 · arxiv_version: 1011.2870v2 · doi: 10.48550/arxiv.1011.2870 · pith_short_12: FUAW6S6E3XIW · pith_short_16: FUAW6S6E3XIWSPX5 · pith_short_8: FUAW6S6E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUAW6S6E3XIWSPX5ST5IBWDQIP \
  | 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: 2d016f4bc4ddd1693efd94fa80d87043fd48e165724e9fa24880fa7acfc7916c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e43b30e67bbd42a85a39d70f5cfbc30c7db3823cbb30093afff40b9db1467785",
    "cross_cats_sorted": [
      "math.MP",
      "physics.data-an",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-12T10:08:35Z",
    "title_canon_sha256": "a8ac03f856eecad635d6ae988fc4c846783abeb89270fbd369b9bdc1626afcbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2870",
    "kind": "arxiv",
    "version": 2
  }
}