Pith Number

pith:TN2FVGVS

pith:2016:TN2FVGVS7VY5LADWWXDX2NRDHJ

not attested not anchored not stored refs pending

The initial boundary value problem for the Boltzmann equation with soft potential

Shuangqian Liu, Xiongfeng Yang

arxiv:1604.05759 v3 · 2016-04-19 · 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{TN2FVGVS7VY5LADWWXDX2NRDHJ}

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	2026-05-18T01:04:13.266415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b745a9ab2fd71d58076b5c77d36233a7cfe2356f00dcf621d82c2c72f2eae74

Aliases

arxiv: 1604.05759 · arxiv_version: 1604.05759v3 · doi: 10.48550/arxiv.1604.05759 · pith_short_12: TN2FVGVS7VY5 · pith_short_16: TN2FVGVS7VY5LADW · pith_short_8: TN2FVGVS

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/TN2FVGVS7VY5LADWWXDX2NRDHJ \
  | 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: 9b745a9ab2fd71d58076b5c77d36233a7cfe2356f00dcf621d82c2c72f2eae74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d49e2c4eca70a4cd17127881ff76ff00bacdd96b2f0a9bd6d0b20200ffd58c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-19T21:46:55Z",
    "title_canon_sha256": "2f994ee4e3f5ad34f3131d0c7d881015887f87bf8b993e0b007390bb4088a83a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05759",
    "kind": "arxiv",
    "version": 3
  }
}