pith. sign in
Pith Number

pith:4VNBFHTD

pith:2011:4VNBFHTDFRO3X3U7YLOWRDGOZY
not attested not anchored not stored refs pending

A threshold induced phase transition in the kinetic exchange models

Anirban Chakraborti, Asim Ghosh, Bikas K. Chakrabarti, Urna Basu

arxiv:1102.1968 v3 · 2011-02-09 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4VNBFHTDFRO3X3U7YLOWRDGOZY}

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 2026-05-18T02:03:14.731643Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e55a129e632c5dbbee9fc2dd688ccece3952bce5eeb01f5c7f95bb9e38afa846

Aliases

arxiv: 1102.1968 · arxiv_version: 1102.1968v3 · doi: 10.48550/arxiv.1102.1968 · pith_short_12: 4VNBFHTDFRO3 · pith_short_16: 4VNBFHTDFRO3X3U7 · pith_short_8: 4VNBFHTD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4VNBFHTDFRO3X3U7YLOWRDGOZY \
  | 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: e55a129e632c5dbbee9fc2dd688ccece3952bce5eeb01f5c7f95bb9e38afa846
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a23a8396f5f9f9a197596bdae7b3da6f9b9f96ca3faa57c7b9c0c7ac50c1fe09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-09T20:49:12Z",
    "title_canon_sha256": "b7a4a5297f7021eb245ce347725fc8dbf63740bd18af87467be8b75ac9282faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1968",
    "kind": "arxiv",
    "version": 3
  }
}