Pith Number

pith:QA2ZV7SZ

pith:2007:QA2ZV7SZSMHZQIMIMVKR6ADLQL

not attested not anchored not stored refs pending

On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces

Changxing Miao, Qionglei Chen, Zhifei Zhang

arxiv:0708.0099 v2 · 2007-08-01 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA2ZV7SZSMHZQIMIMVKR6ADLQL}

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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.

Receipt and verification

First computed	2026-07-04T17:18:13.679650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80359afe59930f98218865551f006b82cab2c3413810525c542ccc3bc4f44528

Aliases

arxiv: 0708.0099 · arxiv_version: 0708.0099v2 · doi: 10.48550/arxiv.0708.0099 · pith_short_12: QA2ZV7SZSMHZ · pith_short_16: QA2ZV7SZSMHZQIMI · pith_short_8: QA2ZV7SZ

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/QA2ZV7SZSMHZQIMIMVKR6ADLQL \
  | 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: 80359afe59930f98218865551f006b82cab2c3413810525c542ccc3bc4f44528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aeb4fd8fb2eea1d6036a900eff1f662842125b2ef90dcd1e7698796e0492dac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-08-01T09:07:32Z",
    "title_canon_sha256": "2c5db6aad86458535839a59689eb864b14764c9ccef5a1249ee99da93766334b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0099",
    "kind": "arxiv",
    "version": 2
  }
}