pith. sign in
Pith Number

pith:TI2MTUJC

pith:2009:TI2MTUJCA7B56IOR74ODMYAWZS
not attested not anchored not stored refs pending

Zero-range processes with saturated condensation: the steady state and dynamics

A. G. Thompson, J. Tailleur, M. E. Cates, R. A. Blythe

arxiv:0912.3009 v2 · 2009-12-15 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TI2MTUJCA7B56IOR74ODMYAWZS}

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 2026-05-18T03:25:33.657795Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9a34c9d12207c3df21d1ff1c366016ccb566aabd3dade410fe8634a746f75ece

Aliases

arxiv: 0912.3009 · arxiv_version: 0912.3009v2 · doi: 10.48550/arxiv.0912.3009 · pith_short_12: TI2MTUJCA7B5 · pith_short_16: TI2MTUJCA7B56IOR · pith_short_8: TI2MTUJC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TI2MTUJCA7B56IOR74ODMYAWZS \
  | 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: 9a34c9d12207c3df21d1ff1c366016ccb566aabd3dade410fe8634a746f75ece
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "12c8b5ac9674ea7ab81d7091366d38b58a0c3c21e3d2008d9bc3d26b978fa54f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-15T21:22:53Z",
    "title_canon_sha256": "c36611fa6fd0b1e8ab74fa224c1d4b28a3b53ec46a565ab263a9bda8eb5513bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3009",
    "kind": "arxiv",
    "version": 2
  }
}