Pith Number

pith:DTXFQW25

pith:2021:DTXFQW25QS4GGU5WCHA63SRT4J

not attested not anchored not stored refs pending

Higher regularity and asymptotic behavior of 2D magnetic Prandtl model in the Prandtl-Hartmann regime

Jincheng Gao, Minling Li, Zheng-an Yao

arxiv:2111.04016 v1 · 2021-11-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTXFQW25QS4GGU5WCHA63SRT4J}

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.

Cited by

1 paper in Pith

Prandtl Equations and Related Boundary Layer Equations

Receipt and verification

First computed	2026-07-05T03:29:54.711384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cee585b5d84b86353b611c1edca33e25cdbedc608f3b8bffc41fec8e6cb8c0a

Aliases

arxiv: 2111.04016 · arxiv_version: 2111.04016v1 · doi: 10.48550/arxiv.2111.04016 · pith_short_12: DTXFQW25QS4G · pith_short_16: DTXFQW25QS4GGU5W · pith_short_8: DTXFQW25

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/DTXFQW25QS4GGU5WCHA63SRT4J \
  | 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: 1cee585b5d84b86353b611c1edca33e25cdbedc608f3b8bffc41fec8e6cb8c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63bf65ed43bfc2801642f2d8a616973cb9651aba0a5700a9df693e76741213e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-07T07:00:40Z",
    "title_canon_sha256": "da6a03665ac7baf8a5770c28057bcaf59a1194ae0f4daffd512c2f667f3aeabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04016",
    "kind": "arxiv",
    "version": 1
  }
}