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Pith Number

pith:4HLDZ4OT

pith:2015:4HLDZ4OTJFGOQDITHYJZWR2MUO
not attested not anchored not stored refs pending

Purely hydrodynamic origin for swarming of swimming particles

John Jairo Molina, Norihiro Oyama, Ryoichi Yamamoto

arxiv:1504.06914 v4 · 2015-04-27 · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4HLDZ4OTJFGOQDITHYJZWR2MUO}

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 2026-05-18T01:16:50.770907Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1d63cf1d3494ce80d133e139b474ca3b99f21bc9d5d537fa06d3d2da227d684

Aliases

arxiv: 1504.06914 · arxiv_version: 1504.06914v4 · doi: 10.48550/arxiv.1504.06914 · pith_short_12: 4HLDZ4OTJFGO · pith_short_16: 4HLDZ4OTJFGOQDIT · pith_short_8: 4HLDZ4OT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HLDZ4OTJFGOQDITHYJZWR2MUO \
  | 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: e1d63cf1d3494ce80d133e139b474ca3b99f21bc9d5d537fa06d3d2da227d684
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "beb230ccaaa08037e3c059a93fd812cb03214911359828ea027bd96963d9a573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2015-04-27T03:12:37Z",
    "title_canon_sha256": "b108a79d01e9acef53faf1f1f51dd910df6677a18028318881b4cde19a473525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06914",
    "kind": "arxiv",
    "version": 4
  }
}