Pith Number

pith:ZDTKKYFZ

pith:2015:ZDTKKYFZIRJ6HLMRKTZXIAJ2YK

not attested not anchored not stored refs pending

Convergence of a linearly transformed particle method for aggregation equations

Fr\'ed\'erique Charles, Jos\'e A. Carrillo, Martin Campos Pinto, Young-Pil Choi

arxiv:1507.07405 v1 · 2015-07-27 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDTKKYFZIRJ6HLMRKTZXIAJ2YK}

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	2026-05-18T01:36:16.451050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e6a560b94453e3ad9154f374013ac2a367d93c847f7fb77dd8f8cfb7af6fd0

Aliases

arxiv: 1507.07405 · arxiv_version: 1507.07405v1 · doi: 10.48550/arxiv.1507.07405 · pith_short_12: ZDTKKYFZIRJ6 · pith_short_16: ZDTKKYFZIRJ6HLMR · pith_short_8: ZDTKKYFZ

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/ZDTKKYFZIRJ6HLMRKTZXIAJ2YK \
  | 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: c8e6a560b94453e3ad9154f374013ac2a367d93c847f7fb77dd8f8cfb7af6fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3068433e98a8b9a5f2fbb5876083cc32e483f14817d5e8ba117364cdec69ed72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-27T13:49:40Z",
    "title_canon_sha256": "edd92d0bd54a654a91486a491831d7fcb22690f93c28d4352960b698751f1f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07405",
    "kind": "arxiv",
    "version": 1
  }
}