Pith Number

pith:XDCHIL7F

pith:2016:XDCHIL7FSITXQ4US6TEB4DHXAY

not attested not anchored not stored refs pending

Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow

Dongxiang Chen, Yuxi Wang, Zhifei Zhang

arxiv:1609.08785 v1 · 2016-09-28 · 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{XDCHIL7FSITXQ4US6TEB4DHXAY}

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	2026-05-18T01:03:41.872995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c4742fe59227787292f4c81e0cf7063edbdf3bf2ff9b227d3ac313222ee08f

Aliases

arxiv: 1609.08785 · arxiv_version: 1609.08785v1 · doi: 10.48550/arxiv.1609.08785 · pith_short_12: XDCHIL7FSITX · pith_short_16: XDCHIL7FSITXQ4US · pith_short_8: XDCHIL7F

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/XDCHIL7FSITXQ4US6TEB4DHXAY \
  | 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: b8c4742fe59227787292f4c81e0cf7063edbdf3bf2ff9b227d3ac313222ee08f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8ae2e2d3d088a2498bce1c069f446d10599a248a50e9ab4ea76bcc6646c618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-28T06:09:11Z",
    "title_canon_sha256": "e9d47453470fdb7f4bf33e67da213b1db5e761607b204c468064864257a154be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08785",
    "kind": "arxiv",
    "version": 1
  }
}