Pith Number

pith:L52T6HCM

pith:2013:L52T6HCM7YRGFXHJQLVBVZFUMM

not attested not anchored not stored refs pending

Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight

Jan Peszek

arxiv:1302.4224 v1 · 2013-02-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L52T6HCM7YRGFXHJQLVBVZFUMM}

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	2026-05-18T03:33:23.646089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f753f1c4cfe2262dce982ea1ae4b4630d96ee30e738210ab31814321005a1b4

Aliases

arxiv: 1302.4224 · arxiv_version: 1302.4224v1 · doi: 10.48550/arxiv.1302.4224 · pith_short_12: L52T6HCM7YRG · pith_short_16: L52T6HCM7YRGFXHJ · pith_short_8: L52T6HCM

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/L52T6HCM7YRGFXHJQLVBVZFUMM \
  | 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: 5f753f1c4cfe2262dce982ea1ae4b4630d96ee30e738210ab31814321005a1b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53dcb1864babd1000316078cf155e6c5c2b5d5b2760051ea17533e6085550894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-18T11:05:21Z",
    "title_canon_sha256": "add5c6f1a988f2fac3f32f207c60b6cb13fb04578ae2dd8f9cfd506e63b2e63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4224",
    "kind": "arxiv",
    "version": 1
  }
}