Pith Number

pith:WINUA5ZP

pith:2015:WINUA5ZPVBY5YFMF7HDQCDOVXN

not attested not anchored not stored refs pending

Justification of Diffusion limit for the Boltzmann Equation with a non-trivial Profile

Feimin Huang, Tong Yang, Yi Wang, Yong Wang

arxiv:1505.02258 v1 · 2015-05-09 · 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{WINUA5ZPVBY5YFMF7HDQCDOVXN}

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	2026-05-18T02:16:19.404453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21b40772fa871dc1585f9c7010dd5bb4e75d180ef6777872f3a93f3bbe46c79

Aliases

arxiv: 1505.02258 · arxiv_version: 1505.02258v1 · doi: 10.48550/arxiv.1505.02258 · pith_short_12: WINUA5ZPVBY5 · pith_short_16: WINUA5ZPVBY5YFMF · pith_short_8: WINUA5ZP

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/WINUA5ZPVBY5YFMF7HDQCDOVXN \
  | 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: b21b40772fa871dc1585f9c7010dd5bb4e75d180ef6777872f3a93f3bbe46c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155cef88eb466edb1b600ee16e17aa8d7dc11bbfb176f91e38186ab730aa6a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-09T11:17:01Z",
    "title_canon_sha256": "621a9a8618f27c7ef88ffc7e58360f2d297cbdb70fd2d431ed3a323ecec1d4b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02258",
    "kind": "arxiv",
    "version": 1
  }
}