Pith Number

pith:RDXQIAT5

pith:2014:RDXQIAT5AAVU7VLZ5NQKLAGE57

not attested not anchored not stored refs pending

Regularity of weak solutions to the Navier-Stokes equations (III)-frequency overlapping

Jian Zhai

arxiv:1409.7868 v4 · 2014-09-28 · 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{RDXQIAT5AAVU7VLZ5NQKLAGE57}

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	2026-05-18T01:20:03.826075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ef04027d002b4fd579eb60a580c4efc15c8619df6ad6b337c3c5597afc4d12

Aliases

arxiv: 1409.7868 · arxiv_version: 1409.7868v4 · doi: 10.48550/arxiv.1409.7868 · pith_short_12: RDXQIAT5AAVU · pith_short_16: RDXQIAT5AAVU7VLZ · pith_short_8: RDXQIAT5

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/RDXQIAT5AAVU7VLZ5NQKLAGE57 \
  | 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: 88ef04027d002b4fd579eb60a580c4efc15c8619df6ad6b337c3c5597afc4d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8ce5224bb42813371343d5d1c7b94637360e126c4e5fca495be39f7bb4c8fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-28T03:20:37Z",
    "title_canon_sha256": "433f2233bcf76b9f92d7fe9f38e214177b14d26a715577dc39639a1ee16d87c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7868",
    "kind": "arxiv",
    "version": 4
  }
}