Pith Number

pith:5SQWKOO4

pith:2016:5SQWKOO4YPGQUPSBEJSW2KZDRQ

not attested not anchored not stored refs pending

Stochastic Kinetic Theory for Collective Behavior of Hydrodynamically Interacting Active Particles

Patrick T. Underhill, Peter R. Kramer, Yuzhou Qian

arxiv:1612.07336 v3 · 2016-12-21 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SQWKOO4YPGQUPSBEJSW2KZDRQ}

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	2026-05-18T00:45:14.587067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca16539dcc3cd0a3e4122656d2b238c3282c5969241d4147907aa6ea649b085

Aliases

arxiv: 1612.07336 · arxiv_version: 1612.07336v3 · doi: 10.48550/arxiv.1612.07336 · pith_short_12: 5SQWKOO4YPGQ · pith_short_16: 5SQWKOO4YPGQUPSB · pith_short_8: 5SQWKOO4

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/5SQWKOO4YPGQUPSBEJSW2KZDRQ \
  | 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: eca16539dcc3cd0a3e4122656d2b238c3282c5969241d4147907aa6ea649b085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a9a9199b6bd4b257995eb3cd8b1543d2686ed20856ed79ff1ea5b0ba71402c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2016-12-21T21:12:49Z",
    "title_canon_sha256": "26b876dcbe3184c8d575dcf7e9f8abf1fd1a5cd4caf593844505257bcb9b44da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07336",
    "kind": "arxiv",
    "version": 3
  }
}