Pith Number

pith:4OCMJIII

pith:2016:4OCMJIIIGLF4L6ZAXWHS2MAYQ6

not attested not anchored not stored refs pending

Scale-dependent co-localization in a population of gyrotactic swimmers

Filippo De Lillo, Guido Boffetta, Matteo Borgnino

arxiv:1612.02157 v1 · 2016-12-07 · physics.flu-dyn · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OCMJIIIGLF4L6ZAXWHS2MAYQ6}

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	2026-05-18T00:50:17.820378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e384c4a10832cbc5fb20bd8f2d301887a848cd511d17139a2f4bd1cbf165977c

Aliases

arxiv: 1612.02157 · arxiv_version: 1612.02157v1 · doi: 10.48550/arxiv.1612.02157 · pith_short_12: 4OCMJIIIGLF4 · pith_short_16: 4OCMJIIIGLF4L6ZA · pith_short_8: 4OCMJIII

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4OCMJIIIGLF4L6ZAXWHS2MAYQ6 \
  | 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: e384c4a10832cbc5fb20bd8f2d301887a848cd511d17139a2f4bd1cbf165977c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1f2ea4a1e8c5ab9122c0ecb2c643d3928117bf4c6a82610f19e3ab63aa0370",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-12-07T09:04:58Z",
    "title_canon_sha256": "5b778e9077ebce49ed3dd49a8ff5b381846205fd6ea2167370c9a0c4db7d098f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02157",
    "kind": "arxiv",
    "version": 1
  }
}