Pith Number

pith:WH3COBYR

pith:2023:WH3COBYRNVGW5EAW4B5VSHVCHG

not attested not anchored not stored refs pending

Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$

Dengjun Guo, Lifeng Zhao

arxiv:2301.01399 v3 · 2023-01-04 · 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{WH3COBYRNVGW5EAW4B5VSHVCHG}

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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.

Cited by

1 paper in Pith

Nearly parallel helical vortex filaments in the three dimensional Euler equations

Receipt and verification

First computed	2026-07-05T07:55:56.881673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f62707116d4d6e9016e07b591ea2399b4921ee128059d5c9bcfdde45285b61

Aliases

arxiv: 2301.01399 · arxiv_version: 2301.01399v3 · doi: 10.48550/arxiv.2301.01399 · pith_short_12: WH3COBYRNVGW · pith_short_16: WH3COBYRNVGW5EAW · pith_short_8: WH3COBYR

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/WH3COBYRNVGW5EAW4B5VSHVCHG \
  | 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: b1f62707116d4d6e9016e07b591ea2399b4921ee128059d5c9bcfdde45285b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cb723f1a2ffd3ef7b30bbe506451b16ee6496c1bf9f10efabde46b13d4ba30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-04T01:35:57Z",
    "title_canon_sha256": "3ab1decb48d07c10b5378fefcd3aadc52a0d1a38c0468d2b6797b65f744bb42d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.01399",
    "kind": "arxiv",
    "version": 3
  }
}