Pith Number

pith:ARIPKAD7

pith:2016:ARIPKAD7S7WWPEVNLPC5YWK77H

not attested not anchored not stored refs pending

The propagation of chaos for a rarefied gas of hard spheres in the whole space

Ryan Denlinger

arxiv:1605.00589 v4 · 2016-05-02 · 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{ARIPKAD7S7WWPEVNLPC5YWK77H}

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	2026-05-18T00:12:02.679529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0450f5007f97ed6792ad5bc5dc595ff9fd7ffe25d672a5e94cb25e968fc034a9

Aliases

arxiv: 1605.00589 · arxiv_version: 1605.00589v4 · doi: 10.48550/arxiv.1605.00589 · pith_short_12: ARIPKAD7S7WW · pith_short_16: ARIPKAD7S7WWPEVN · pith_short_8: ARIPKAD7

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/ARIPKAD7S7WWPEVNLPC5YWK77H \
  | 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: 0450f5007f97ed6792ad5bc5dc595ff9fd7ffe25d672a5e94cb25e968fc034a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d18514969b2a74fda3142deb30771b06409fbfd0146fc4b9ad55a55a3ac36d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-02T18:08:20Z",
    "title_canon_sha256": "a41a7c3f906b8da65b5ad64999f683e372edf930aa5669ba00a4c0b9c395959d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00589",
    "kind": "arxiv",
    "version": 4
  }
}