Pith Number

pith:KQH3Q5WI

pith:2012:KQH3Q5WIWN5LBUCRITVDKPVI2U

not attested not anchored not stored refs pending

On Axially Symmetric Incompressible Magnetohydrodynamics in Three Dimensions

Zhen Lei

arxiv:1212.5968 v2 · 2012-12-24 · 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{KQH3Q5WIWN5LBUCRITVDKPVI2U}

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	2026-05-18T03:07:03.845586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540fb876c8b37ab0d05144ea353ea8d510dcba13c0eecb8724571ff5971c5650

Aliases

arxiv: 1212.5968 · arxiv_version: 1212.5968v2 · doi: 10.48550/arxiv.1212.5968 · pith_short_12: KQH3Q5WIWN5L · pith_short_16: KQH3Q5WIWN5LBUCR · pith_short_8: KQH3Q5WI

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/KQH3Q5WIWN5LBUCRITVDKPVI2U \
  | 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: 540fb876c8b37ab0d05144ea353ea8d510dcba13c0eecb8724571ff5971c5650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cb95c1aebbf6c4914b4e4c79f9a0ec5e028ad673b3c8133c978d7f4ba2e2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-24T21:50:10Z",
    "title_canon_sha256": "86f80b3cc516c5fd60ce352707396d3320514c885f1fe3e4324ef0106decc919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5968",
    "kind": "arxiv",
    "version": 2
  }
}