Pith Number

pith:HTSKWYKC

pith:2026:HTSKWYKCA7TXI4XNRQHTRPI7NW

not attested not anchored not stored refs pending

Non-uniqueness for the hypo-dissipative compressible 3D magnetohydrodynamic equations

Haobin Li, Peng Qu

arxiv:2606.21040 v1 · 2026-06-19 · 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{HTSKWYKCA7TXI4XNRQHTRPI7NW}

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	2026-06-23T01:12:27.941864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce4ab614207e77472ed8c0f38bd1f6d9622d481b84542085f09b7c81ec94a83

Aliases

arxiv: 2606.21040 · arxiv_version: 2606.21040v1 · doi: 10.48550/arxiv.2606.21040 · pith_short_12: HTSKWYKCA7TX · pith_short_16: HTSKWYKCA7TXI4XN · pith_short_8: HTSKWYKC

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/HTSKWYKCA7TXI4XNRQHTRPI7NW \
  | 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: 3ce4ab614207e77472ed8c0f38bd1f6d9622d481b84542085f09b7c81ec94a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ade72cdba379ece32e5c425f8f25b7f873e5ab421ef0f021f050dac314812e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-19T02:08:29Z",
    "title_canon_sha256": "e4ed21959d55fd16707701cdd2f927fc0dac719bb57204399a368a35291720d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21040",
    "kind": "arxiv",
    "version": 1
  }
}