Pith Number

pith:B6LYEB7F

pith:2015:B6LYEB7FRD25B2YHIAU7VEIIKH

not attested not anchored not stored refs pending

Dimensionality Reduction of Collective Motion by Principal Manifolds

Erik M. Bollt, Kelum Gajamannage, Maurizio Porfiri, Sachit Butail

arxiv:1508.03332 v1 · 2015-08-13 · math.NA · cs.LG · cs.MA · math.DS · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6LYEB7FRD25B2YHIAU7VEIIKH}

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	2026-05-18T00:39:57.108017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f978207e588f5d0eb074029fa910851d162738999805f5ab112687c55ddb648

Aliases

arxiv: 1508.03332 · arxiv_version: 1508.03332v1 · doi: 10.48550/arxiv.1508.03332 · pith_short_12: B6LYEB7FRD25 · pith_short_16: B6LYEB7FRD25B2YH · pith_short_8: B6LYEB7F

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/B6LYEB7FRD25B2YHIAU7VEIIKH \
  | 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: 0f978207e588f5d0eb074029fa910851d162738999805f5ab112687c55ddb648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a7c42659d24e589a1d1bcf7271394c6b9e0ba65623da228496ab80e6c4bf00",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA",
      "math.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-13T21:07:51Z",
    "title_canon_sha256": "3a280adfa67397d892866ecc2c844dd946bdf1ee4eceba0404644dcb53e059ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03332",
    "kind": "arxiv",
    "version": 1
  }
}