pith. sign in
Pith Number

pith:PWCL5Z47

pith:2011:PWCL5Z472APKN7URWJXSETPP5V
not attested not anchored not stored refs pending

Phase transitions in crowd dynamics of resource allocation

Arnab Chatterjee, Asim Ghosh, Bikas K. Chakrabarti, Daniele De Martino, Matteo Marsili

arxiv:1109.2541 v2 · 2011-09-12 · physics.soc-ph · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PWCL5Z472APKN7URWJXSETPP5V}

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 2026-05-18T02:00:34.226153Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d84bee79fd01ea6fe91b26f224defed638232ffd905c56b663ed330b2fbfd60

Aliases

arxiv: 1109.2541 · arxiv_version: 1109.2541v2 · doi: 10.48550/arxiv.1109.2541 · pith_short_12: PWCL5Z472APK · pith_short_16: PWCL5Z472APKN7UR · pith_short_8: PWCL5Z47
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWCL5Z472APKN7URWJXSETPP5V \
  | 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: 7d84bee79fd01ea6fe91b26f224defed638232ffd905c56b663ed330b2fbfd60
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d782be64723571bf0ff4fc7ab25dc27c0b348076ac6a70ecc0adb97892258372",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-09-12T17:27:00Z",
    "title_canon_sha256": "8b81caa2c45b231b50c8df7533b2c891c4a65ef4c53ebd3b8bb274d052be5077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2541",
    "kind": "arxiv",
    "version": 2
  }
}