Pith Number

pith:P3QBTS6P

pith:2020:P3QBTS6PV56FFVZ4CGGRVXCSLO

not attested not anchored not stored refs pending

A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain

Chun-Hsiung Hsia, I-Kun Chen, Jhe-Kuan Su, Ping-Han Chuang

arxiv:2011.00180 v1 · 2020-10-31 · 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{P3QBTS6PV56FFVZ4CGGRVXCSLO}

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.

Cited by

1 paper in Pith

From trigonal to triclinic: Symmetry-tuned Rashba effects in buckled honeycomb SrHfO$_{3}$-based heterostructures

Receipt and verification

First computed	2026-07-05T01:47:58.143105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee019cbcfaf7c52d73c118d1adc525b9a88d384645a776d0422838d805d4854

Aliases

arxiv: 2011.00180 · arxiv_version: 2011.00180v1 · doi: 10.48550/arxiv.2011.00180 · pith_short_12: P3QBTS6PV56F · pith_short_16: P3QBTS6PV56FFVZ4 · pith_short_8: P3QBTS6P

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/P3QBTS6PV56FFVZ4CGGRVXCSLO \
  | 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: 7ee019cbcfaf7c52d73c118d1adc525b9a88d384645a776d0422838d805d4854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb83e2918f9dd82de7128e314de10071ff8bceccafd87cdcb15cdb949bd54d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-31T03:50:32Z",
    "title_canon_sha256": "176df4278d494de203a4fcff5abfa6be567f944faf285082867e5e05fdd2bd4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.00180",
    "kind": "arxiv",
    "version": 1
  }
}