Pith Number

pith:AOG76DHG

pith:2021:AOG76DHGJJWD24Y5WH3C5MSSMQ

not attested not anchored not stored refs pending

Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure

Andrew J. Christlieb, Juntao Huang, Luke F. Roberts, Yingda Cheng

arxiv:2105.05690 v2 · 2021-05-12 · math.NA · cs.LG · cs.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{AOG76DHGJJWD24Y5WH3C5MSSMQ}

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	2026-07-05T03:54:56.211190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038dff0ce64a6c3d731db1f62eb2526417a3a00e50a368e0ae9d1af6a2467f73

Aliases

arxiv: 2105.05690 · arxiv_version: 2105.05690v2 · doi: 10.48550/arxiv.2105.05690 · pith_short_12: AOG76DHGJJWD · pith_short_16: AOG76DHGJJWD24Y5 · pith_short_8: AOG76DHG

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/AOG76DHGJJWD24Y5WH3C5MSSMQ \
  | 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: 038dff0ce64a6c3d731db1f62eb2526417a3a00e50a368e0ae9d1af6a2467f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fedde6822e94c010edb21c8d4ecd902fbbd2173ad1c892b78641bf145e557e5f",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-05-12T14:24:20Z",
    "title_canon_sha256": "7fa2c23c66ad4dc16689f76c6c21db848d46b1e2628e8343f5bc8bdbe91aa9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05690",
    "kind": "arxiv",
    "version": 2
  }
}