Pith Number

pith:3K4GSFYB

pith:2019:3K4GSFYBQMKOAVIXGB5QHRNLMI

not attested not anchored not stored refs pending

Analyzing Collective Motion with Machine Learning and Topology

Angelika Manhart, Chad M. Topaz, Dhananjay Bhaskar, Jesse Milzman, John T. Nardini, Kathleen Storey, Lori Ziegelmeier

arxiv:1908.09081 v2 · 2019-08-24 · math.AT · nlin.PS · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K4GSFYBQMKOAVIXGB5QHRNLMI}

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	2026-07-05T00:38:03.810507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab86917018314e05517307b03c5ab62094fd7328db847857770be97908e7487

Aliases

arxiv: 1908.09081 · arxiv_version: 1908.09081v2 · doi: 10.48550/arxiv.1908.09081 · pith_short_12: 3K4GSFYBQMKO · pith_short_16: 3K4GSFYBQMKOAVIX · pith_short_8: 3K4GSFYB

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/3K4GSFYBQMKOAVIXGB5QHRNLMI \
  | 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: dab86917018314e05517307b03c5ab62094fd7328db847857770be97908e7487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9823d0e106237515d1f4b6fce3373a5f20ae5bf3d75ad853db42dfaada1f0773",
    "cross_cats_sorted": [
      "nlin.PS",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-24T03:18:30Z",
    "title_canon_sha256": "9f83e9724d9f5e180734d1f2700cf243431a7e8516b2cfba169256ca1ae370f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09081",
    "kind": "arxiv",
    "version": 2
  }
}