Pith Number

pith:NX3OKWY6

pith:2016:NX3OKWY6Y2WRE2KPZUNTDNRRYJ

not attested not anchored not stored refs pending

Global existence of weak solutions to the 3D incompressible axisymmetric Euler equations without swirl

Dongjuan Niu, Jitao Liu, Quansen Jiu

arxiv:1605.06740 v2 · 2016-05-22 · 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{NX3OKWY6Y2WRE2KPZUNTDNRRYJ}

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	2026-05-18T00:38:04.409671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df6e55b1ec6ad12694fcd1b31b631c257f2e1b276133b15f79f06a5005af519

Aliases

arxiv: 1605.06740 · arxiv_version: 1605.06740v2 · doi: 10.48550/arxiv.1605.06740 · pith_short_12: NX3OKWY6Y2WR · pith_short_16: NX3OKWY6Y2WRE2KP · pith_short_8: NX3OKWY6

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/NX3OKWY6Y2WRE2KPZUNTDNRRYJ \
  | 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: 6df6e55b1ec6ad12694fcd1b31b631c257f2e1b276133b15f79f06a5005af519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5207f0112eb87ee1d27e887ae41f8d70080a41201ce33df3d14f3c16e65554e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-22T05:48:34Z",
    "title_canon_sha256": "b11a89d9f8351e746ef6fd1ebdf5efacd78ebb49be29a68679be8c550f20a055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06740",
    "kind": "arxiv",
    "version": 2
  }
}