Pith Number

pith:E3P2BCYS

pith:2015:E3P2BCYSOO6JTBW2XGAQD2EYRY

not attested not anchored not stored refs pending

Stationary solutions to the Boltzmann equation in the Hydrodynamic limit

Chanwoo Kim, Raffaele Esposito, Rossana Marra, Yan Guo

arxiv:1502.05324 v3 · 2015-02-18 · 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{E3P2BCYSOO6JTBW2XGAQD2EYRY}

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	2026-05-18T00:05:20.052088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dfa08b1273bc9986dab98101e8988e073c4301117566dba79bfd524026b965

Aliases

arxiv: 1502.05324 · arxiv_version: 1502.05324v3 · doi: 10.48550/arxiv.1502.05324 · pith_short_12: E3P2BCYSOO6J · pith_short_16: E3P2BCYSOO6JTBW2 · pith_short_8: E3P2BCYS

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/E3P2BCYSOO6JTBW2XGAQD2EYRY \
  | 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: 26dfa08b1273bc9986dab98101e8988e073c4301117566dba79bfd524026b965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20f574b7cc37fff99297aaea2749f5a142cb06c4be49a69437b6e1faa9d344d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-18T18:07:28Z",
    "title_canon_sha256": "074c91e24c797a106e8771d35098a3b06ec599aef8c7df1612a2ddac7fac27e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05324",
    "kind": "arxiv",
    "version": 3
  }
}