Pith Number

pith:CPYUXRDJ

pith:2018:CPYUXRDJMC55FHYA4DEAE7SYTF

not attested not anchored not stored refs pending

Sharp regularizing estimates for the gain term of the Boltzmann collision operator

Jin-Cheng Jiang

arxiv:1810.12539 v2 · 2018-10-30 · 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{CPYUXRDJMC55FHYA4DEAE7SYTF}

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	2026-05-17T23:44:02.715890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f14bc46960bbd29f00e0c8027e58995a79dd694fabe09e380230b7c18085dc

Aliases

arxiv: 1810.12539 · arxiv_version: 1810.12539v2 · doi: 10.48550/arxiv.1810.12539 · pith_short_12: CPYUXRDJMC55 · pith_short_16: CPYUXRDJMC55FHYA · pith_short_8: CPYUXRDJ

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/CPYUXRDJMC55FHYA4DEAE7SYTF \
  | 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: 13f14bc46960bbd29f00e0c8027e58995a79dd694fabe09e380230b7c18085dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffdbc0e8b6699f42a3d2859d290729bf5005a8886805e234b657e9e6b3b0012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-30T06:08:02Z",
    "title_canon_sha256": "6f1bbdc2cc6a8a2bf37c0115ef93a84344c6bd80366a70e385b3b71ccde2b552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12539",
    "kind": "arxiv",
    "version": 2
  }
}