Pith Number

pith:UQPWL6XL

pith:2015:UQPWL6XLLNAL2U6IBJP5E37IMS

not attested not anchored not stored refs pending

Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces

Giovanni P. Galdi, Matthias Hieber, Takahito Kashiwabara

arxiv:1509.02637 v1 · 2015-09-09 · 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{UQPWL6XLLNAL2U6IBJP5E37IMS}

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	2026-05-18T01:33:34.499171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41f65faeb5b40bd53c80a5fd26fe864881c0c709cdcde5b63c5824bba79bd21

Aliases

arxiv: 1509.02637 · arxiv_version: 1509.02637v1 · doi: 10.48550/arxiv.1509.02637 · pith_short_12: UQPWL6XLLNAL · pith_short_16: UQPWL6XLLNAL2U6I · pith_short_8: UQPWL6XL

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/UQPWL6XLLNAL2U6IBJP5E37IMS \
  | 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: a41f65faeb5b40bd53c80a5fd26fe864881c0c709cdcde5b63c5824bba79bd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf691ac3c1c054c1463cd685d6ecf23e20a3df2df6f6aadc005ca6283be02a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T05:16:25Z",
    "title_canon_sha256": "60100aba9d6b3bae6029069fd7202794632e956a0babee8718be41b406abf1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02637",
    "kind": "arxiv",
    "version": 1
  }
}