Pith Number

pith:6S6I4H4Y

pith:2015:6S6I4H4YIGYNABAUAWHLQCAXOS

not attested not anchored not stored refs pending

Solvability of the Initial-Boundary value problem of the Navier-Stokes equations with rough data

Bum Ja Jin, Tongkeun Chang

arxiv:1503.08638 v1 · 2015-03-30 · 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{6S6I4H4YIGYNABAUAWHLQCAXOS}

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	2026-05-18T02:20:01.219075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4bc8e1f9841b0d00414058eb80817749262ffab08d00f788858c4855e4553d6

Aliases

arxiv: 1503.08638 · arxiv_version: 1503.08638v1 · doi: 10.48550/arxiv.1503.08638 · pith_short_12: 6S6I4H4YIGYN · pith_short_16: 6S6I4H4YIGYNABAU · pith_short_8: 6S6I4H4Y

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/6S6I4H4YIGYNABAUAWHLQCAXOS \
  | 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: f4bc8e1f9841b0d00414058eb80817749262ffab08d00f788858c4855e4553d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2492f0694fe220af038380f4ca67ca5540afde818c2cfff117b9b814918f0a10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-30T11:10:39Z",
    "title_canon_sha256": "ba91aa9579a2846f3106377b8ee0b25fe234aae9d8ea9361a87c4bccf7a3456f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08638",
    "kind": "arxiv",
    "version": 1
  }
}