Pith Number

pith:2LZ6RDRV

pith:2017:2LZ6RDRVYY4W7JNCNWSJEOIJ3M

not attested not anchored not stored refs pending

Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces

Renjun Duan, Shota Sakamoto

arxiv:1709.09908 v2 · 2017-09-28 · 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{2LZ6RDRVYY4W7JNCNWSJEOIJ3M}

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	2026-05-18T00:28:52.559502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f3e88e35c6396fa5a26da4923909db34508b332aea8b78d85c349d80edef2a

Aliases

arxiv: 1709.09908 · arxiv_version: 1709.09908v2 · doi: 10.48550/arxiv.1709.09908 · pith_short_12: 2LZ6RDRVYY4W · pith_short_16: 2LZ6RDRVYY4W7JNC · pith_short_8: 2LZ6RDRV

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/2LZ6RDRVYY4W7JNCNWSJEOIJ3M \
  | 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: d2f3e88e35c6396fa5a26da4923909db34508b332aea8b78d85c349d80edef2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d160b667aca363b574966fec60e22120c8d4dc534d3970669738884bd1007af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-28T12:03:44Z",
    "title_canon_sha256": "f99b3c4d19d581ed7e64c72d1e25dff8e159c834f66b41e617a1b86741c6f033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09908",
    "kind": "arxiv",
    "version": 2
  }
}