Pith Number

pith:ZDMJEXNJ

pith:2022:ZDMJEXNJ4HGP36K6TXZQUPQ4RG

not attested not anchored not stored refs pending

Neural network-based, structure-preserving entropy closures for the Boltzmann moment system

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

arxiv:2201.10364 v1 · 2022-01-25 · 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{ZDMJEXNJ4HGP36K6TXZQUPQ4RG}

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	2026-07-05T03:51:18.256487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d8925da9e1ccfdf95e9df30a3e1c89a9fe40ef848e9ccc30cb398220f3cd5c

Aliases

arxiv: 2201.10364 · arxiv_version: 2201.10364v1 · doi: 10.48550/arxiv.2201.10364 · pith_short_12: ZDMJEXNJ4HGP · pith_short_16: ZDMJEXNJ4HGP36K6 · pith_short_8: ZDMJEXNJ

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/ZDMJEXNJ4HGP36K6TXZQUPQ4RG \
  | 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: c8d8925da9e1ccfdf95e9df30a3e1c89a9fe40ef848e9ccc30cb398220f3cd5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153a68b7beb7184824dc9bbdf4cc85a92e93920be6557ecfe7967939747b2636",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-01-25T14:46:50Z",
    "title_canon_sha256": "dc003776f41b966828d19ffe5a212f646662d6d6add41e58a3d4ffefac63a11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10364",
    "kind": "arxiv",
    "version": 1
  }
}