Pith Number

pith:WSMQIKDF

pith:2026:WSMQIKDFTQKOOMRNC65MRI6BEU

not attested not anchored not stored refs pending

A physics-assisted deep neural network-based closure framework for velocity gradient dynamics in compressible flows with vibrational non-equilibrium

Deep Shikha, Sawan S Sinha

arxiv:2607.21152 v1 · 2026-07-23 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSMQIKDFTQKOOMRNC65MRI6BEU}

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	2026-07-24T01:23:55.821370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4990428659c14e7322d17bac8a3c1252ef64658aa874d1cb8dccba32bd38096

Aliases

arxiv: 2607.21152 · arxiv_version: 2607.21152v1 · doi: 10.48550/arxiv.2607.21152 · pith_short_12: WSMQIKDFTQKO · pith_short_16: WSMQIKDFTQKOOMRN · pith_short_8: WSMQIKDF

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/WSMQIKDFTQKOOMRNC65MRI6BEU \
  | 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: b4990428659c14e7322d17bac8a3c1252ef64658aa874d1cb8dccba32bd38096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca141849eae545a59938d698ae92e57a15e96c5a1acbc449dcd77b4fff1dafbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-23T10:36:05Z",
    "title_canon_sha256": "0194c21e0dd864a9dd01750172831a032f2a0b439f7aa120fec653db10bb1789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21152",
    "kind": "arxiv",
    "version": 1
  }
}