Pith Number

pith:7WH4B5JV

pith:2013:7WH4B5JVEDHUFMAWDZEHTKJJ3D

not attested not anchored not stored refs pending

Gevrey Smoothing Effect for Solutions of the Non-Cutoff Boltzmann Equation in Maxwellian Molecules Case

Teng-Fei Zhang, Zhaoyang Yin

arxiv:1312.6031 v1 · 2013-12-20 · 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{7WH4B5JVEDHUFMAWDZEHTKJJ3D}

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	2026-05-18T03:04:07.329810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd8fc0f53520cf42b0161e4879a929d8cf08e04e5e3cffce2cc40b6fde976d97

Aliases

arxiv: 1312.6031 · arxiv_version: 1312.6031v1 · doi: 10.48550/arxiv.1312.6031 · pith_short_12: 7WH4B5JVEDHU · pith_short_16: 7WH4B5JVEDHUFMAW · pith_short_8: 7WH4B5JV

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/7WH4B5JVEDHUFMAWDZEHTKJJ3D \
  | 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: fd8fc0f53520cf42b0161e4879a929d8cf08e04e5e3cffce2cc40b6fde976d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555bf0e83c2f7a269dd8a988388cf4f33986c36e7f3c0ed7416ca5fe29ac4c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-20T16:43:35Z",
    "title_canon_sha256": "077eddba5c3a4e79f4f035f18e4f13f01840b399cecd2747aef6f96dc52e26cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6031",
    "kind": "arxiv",
    "version": 1
  }
}