Pith Number

pith:MSUKRX5F

pith:2016:MSUKRX5FY27KUO64VMBMDNEHC3

not attested not anchored not stored refs pending

The Sobolev stability threshold for 2D shear flows near Couette

Fei Wang, Jacob Bedrossian, Vlad Vicol

arxiv:1604.01831 v2 · 2016-04-06 · math.AP · 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{MSUKRX5FY27KUO64VMBMDNEHC3}

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	2026-05-18T01:04:13.403169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a8a8dfa5c6beaa3bdcab02c1b48716e6c31ca3f09cf6558d026dcd44688b04

Aliases

arxiv: 1604.01831 · arxiv_version: 1604.01831v2 · doi: 10.48550/arxiv.1604.01831 · pith_short_12: MSUKRX5FY27K · pith_short_16: MSUKRX5FY27KUO64 · pith_short_8: MSUKRX5F

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/MSUKRX5FY27KUO64VMBMDNEHC3 \
  | 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: 64a8a8dfa5c6beaa3bdcab02c1b48716e6c31ca3f09cf6558d026dcd44688b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c5712c01d8b54cbeedcd22e31a20fe7b77d2b12c053897d3d7daf66d2c0b5b",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-06T23:32:33Z",
    "title_canon_sha256": "bcd211ba8c59d9aad629195278e03c8f97a335424344d3a6c283ba6b10c5a656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01831",
    "kind": "arxiv",
    "version": 2
  }
}