Pith Number

pith:KSAZQWCL

pith:2016:KSAZQWCL3QLPDIST4VVP6VM7PC

not attested not anchored not stored refs pending

Sharp conditions to avoid collisions in singular Cucker-Smale interactions

Jan Peszek, Jose A. Carrillo, Piotr B. Mucha, Young-Pil Choi

arxiv:1609.03447 v1 · 2016-09-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSAZQWCL3QLPDIST4VVP6VM7PC}

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	2026-05-18T01:04:46.931632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548198584bdc16f1a253e56aff559f7888b7b93b5e17a5d887314c86c3afb252

Aliases

arxiv: 1609.03447 · arxiv_version: 1609.03447v1 · doi: 10.48550/arxiv.1609.03447 · pith_short_12: KSAZQWCL3QLP · pith_short_16: KSAZQWCL3QLPDIST · pith_short_8: KSAZQWCL

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/KSAZQWCL3QLPDIST4VVP6VM7PC \
  | 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: 548198584bdc16f1a253e56aff559f7888b7b93b5e17a5d887314c86c3afb252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f83af68cf832c7a9312b7f94d695339bdab06f40828e8ea9827faa9ef2c2451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-12T15:26:05Z",
    "title_canon_sha256": "e6cc9c8a31763a20b4bd7ecbc301c1a5a896f9c5898dd1280c687bd61fe64547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03447",
    "kind": "arxiv",
    "version": 1
  }
}