Pith Number

pith:J4XZSWRM

pith:2015:J4XZSWRMBMKSJAYK2UB6DS4PVZ

not attested not anchored not stored refs pending

Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence

Ashley P. Willis, Ati S. Sharma, Beverley J. McKeon, Jae Sung Park, Michael D. Graham, Rashad Moarref

arxiv:1503.01701 v3 · 2015-03-05 · 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{J4XZSWRMBMKSJAYK2UB6DS4PVZ}

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	2026-05-18T01:20:11.986972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2f995a2c0b1524830ad503e1cb8fae45be949d3271a2c1ed26f1d3bc2390ad

Aliases

arxiv: 1503.01701 · arxiv_version: 1503.01701v3 · doi: 10.48550/arxiv.1503.01701 · pith_short_12: J4XZSWRMBMKS · pith_short_16: J4XZSWRMBMKSJAYK · pith_short_8: J4XZSWRM

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/J4XZSWRMBMKSJAYK2UB6DS4PVZ \
  | 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: 4f2f995a2c0b1524830ad503e1cb8fae45be949d3271a2c1ed26f1d3bc2390ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97eda6acef481540f5e5fc6abf7cec2d8ef15969f28a2bf6e1b112f626a8525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-03-05T17:32:28Z",
    "title_canon_sha256": "6cbd1324e65bd99be02a0d99a7aa0bc3efd002fc323f14d871ab6ee271384ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01701",
    "kind": "arxiv",
    "version": 3
  }
}