Pith Number

pith:WYTULFNK

pith:2026:WYTULFNKPO3VIR4PBD3JDSDRR5

not attested not anchored not stored refs pending

Couette Flow with Robin Boundary Condition (I): the viscosity-independent friction

Binqian Niu, Siming He, Weiren Zhao

arxiv:2607.17468 v1 · 2026-07-20 · math.AP · 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{WYTULFNKPO3VIR4PBD3JDSDRR5}

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	2026-07-21T01:21:47.047006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6274595aa7bb754478f08f691c8718f53b10269565d0b281cbac058be21f300

Aliases

arxiv: 2607.17468 · arxiv_version: 2607.17468v1 · doi: 10.48550/arxiv.2607.17468 · pith_short_12: WYTULFNKPO3V · pith_short_16: WYTULFNKPO3VIR4P · pith_short_8: WYTULFNK

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/WYTULFNKPO3VIR4PBD3JDSDRR5 \
  | 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: b6274595aa7bb754478f08f691c8718f53b10269565d0b281cbac058be21f300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30146282daeaa6dbf9c69c10c006fc7f25cb82d6d267a621e1f0e649b57d34ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-20T01:52:20Z",
    "title_canon_sha256": "bf01c8f2602672bb7681f70a4c196066eb47f4a6bd72c1701e33419fe4ac5489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17468",
    "kind": "arxiv",
    "version": 1
  }
}