pith. sign in
Pith Number

pith:EAKUJEK7

pith:2015:EAKUJEK7A7IOAA2J7UXDIHH6LO
not attested not anchored not stored refs pending

Collectivity in small and large amplitude microscopic mean-field dynamic

Denis Lacroix, Guillaume Scamps, Yusuke Tanimura

arxiv:1509.09155 v1 · 2015-09-30 · nucl-th · nucl-ex

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EAKUJEK7A7IOAA2J7UXDIHH6LO}

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 2026-05-18T01:31:26.934581Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

201544915f07d0e00349fd2e341cfe5b8ca8ab88443d96e87fe8ce266e496545

Aliases

arxiv: 1509.09155 · arxiv_version: 1509.09155v1 · doi: 10.48550/arxiv.1509.09155 · pith_short_12: EAKUJEK7A7IO · pith_short_16: EAKUJEK7A7IOAA2J · pith_short_8: EAKUJEK7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EAKUJEK7A7IOAA2J7UXDIHH6LO \
  | 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: 201544915f07d0e00349fd2e341cfe5b8ca8ab88443d96e87fe8ce266e496545
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d1f856bb4ecadfdfd80a3bb884aaa647df48bc12fa2b8268e43e3421a680587e",
    "cross_cats_sorted": [
      "nucl-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2015-09-30T12:40:49Z",
    "title_canon_sha256": "eacf4b8b666924e1575b4ed2a1550178c58d51d8550819de100664fe4589ca33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09155",
    "kind": "arxiv",
    "version": 1
  }
}