Pith Number

pith:RA57ZOPC

pith:2018:RA57ZOPCTYDSZWZFKX4PID2RIL

not attested not anchored not stored refs pending

Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain

Quanrong Li, Shijin Ding

arxiv:1811.11412 v1 · 2018-11-28 · 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{RA57ZOPCTYDSZWZFKX4PID2RIL}

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	2026-05-17T23:59:43.068989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883bfcb9e29e072cdb2555f8f40f5142ec58f783e15f6657f0a91b876556923a

Aliases

arxiv: 1811.11412 · arxiv_version: 1811.11412v1 · doi: 10.48550/arxiv.1811.11412 · pith_short_12: RA57ZOPCTYDS · pith_short_16: RA57ZOPCTYDSZWZF · pith_short_8: RA57ZOPC

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/RA57ZOPCTYDSZWZFKX4PID2RIL \
  | 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: 883bfcb9e29e072cdb2555f8f40f5142ec58f783e15f6657f0a91b876556923a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6193d51d48dea009d5ac25a3e7ab0dd44a3355b509083f56683a58bef251432a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-28T07:03:16Z",
    "title_canon_sha256": "b51c03683e624e86e2e8774aa4f4596850f7f7f4d193ad5aac163354f4218ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11412",
    "kind": "arxiv",
    "version": 1
  }
}