Pith Number

pith:BO6ROZ4G

pith:2015:BO6ROZ4GZF2F4XAGXRRE5I2S4N

not attested not anchored not stored refs pending

Optimal Time Decay of Navier-Stokes Equations With Low Regularity Initial Data

Jigen Peng, Junxiong Jia

arxiv:1502.00763 v2 · 2015-02-03 · 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{BO6ROZ4GZF2F4XAGXRRE5I2S4N}

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	2026-05-18T02:26:52.560196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbd176786c9745e5c06bc624ea352e356c94602644718be78a9c31823749e4e

Aliases

arxiv: 1502.00763 · arxiv_version: 1502.00763v2 · doi: 10.48550/arxiv.1502.00763 · pith_short_12: BO6ROZ4GZF2F · pith_short_16: BO6ROZ4GZF2F4XAG · pith_short_8: BO6ROZ4G

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/BO6ROZ4GZF2F4XAGXRRE5I2S4N \
  | 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: 0bbd176786c9745e5c06bc624ea352e356c94602644718be78a9c31823749e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6fd4b50555c9760011f51839eb3953b7c2fd22dcdd196d691bccd6ba8e5fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-03T07:30:29Z",
    "title_canon_sha256": "9a6c4f0ccf0e610c00e21353b24c2b2e128a264a3d905981c675351ae4e92d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00763",
    "kind": "arxiv",
    "version": 2
  }
}