Pith Number

pith:Y7OCRE4T

pith:2021:Y7OCRE4TETSLPVCO6TTALDJSAB

not attested not anchored not stored refs pending

A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks

Cory D. Hauck, Martin Frank, Steffen Schotth\"ofer, Tianbai Xiao

arxiv:2106.09445 v1 · 2021-06-17 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7OCRE4TETSLPVCO6TTALDJSAB}

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	2026-07-05T02:50:16.274750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7dc28939324e4b7d44ef4e6058d3200513bb8e6e2cca05b2f6bc1d54f8e476a

Aliases

arxiv: 2106.09445 · arxiv_version: 2106.09445v1 · doi: 10.48550/arxiv.2106.09445 · pith_short_12: Y7OCRE4TETSL · pith_short_16: Y7OCRE4TETSLPVCO · pith_short_8: Y7OCRE4T

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/Y7OCRE4TETSLPVCO6TTALDJSAB \
  | 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: c7dc28939324e4b7d44ef4e6058d3200513bb8e6e2cca05b2f6bc1d54f8e476a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3cb551fecfe7a0ae5216dd0558a8c61b7bfc1f551afa51b5f90bff7cacc29da",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-06-17T12:58:27Z",
    "title_canon_sha256": "6f9b61d4693393b0de63406a125540be5174918a5eb9b28f50e1bdaf3b5ef0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09445",
    "kind": "arxiv",
    "version": 1
  }
}