Pith Number

pith:ABB6BMLF

pith:2018:ABB6BMLFHYWOVRQWFIVSYS2VF4

not attested not anchored not stored refs pending

Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations

Irene M. Gamba, Liu Liu, Shi Jin

arxiv:1809.00028 v3 · 2018-08-31 · math.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABB6BMLFHYWOVRQWFIVSYS2VF4}

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	2026-05-17T23:53:29.006401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0043e0b1653e2ceac6162a2b2c4b552f04e6f8648233ac630696f69c7fea051c

Aliases

arxiv: 1809.00028 · arxiv_version: 1809.00028v3 · doi: 10.48550/arxiv.1809.00028 · pith_short_12: ABB6BMLFHYWO · pith_short_16: ABB6BMLFHYWOVRQW · pith_short_8: ABB6BMLF

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/ABB6BMLFHYWOVRQWFIVSYS2VF4 \
  | 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: 0043e0b1653e2ceac6162a2b2c4b552f04e6f8648233ac630696f69c7fea051c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39be621199042133b4295a3add1adfaedd34953843e7b3d9f36ed050859f44bd",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-31T19:16:47Z",
    "title_canon_sha256": "476a8d404c783096e59f7e3364746620d6267d41b3c83d74138bf6f60ca504ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00028",
    "kind": "arxiv",
    "version": 3
  }
}