Pith Number

pith:PVCBTJGA

pith:2019:PVCBTJGAXAQXLDZSG27VBH2IZ3

not attested not anchored not stored refs pending

Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics

Han Liu

arxiv:1908.04891 v2 · 2019-08-13 · 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{PVCBTJGAXAQXLDZSG27VBH2IZ3}

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.

Cited by

1 paper in Pith

Determining wavenumbers for Hall and electron magnetohydrodynamics turbulence

Receipt and verification

First computed	2026-07-05T00:04:10.189461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4419a4c0b821758f3236bf509f48cef0f0998eab8b3a83e2c6bdd42665f890

Aliases

arxiv: 1908.04891 · arxiv_version: 1908.04891v2 · doi: 10.48550/arxiv.1908.04891 · pith_short_12: PVCBTJGAXAQX · pith_short_16: PVCBTJGAXAQXLDZS · pith_short_8: PVCBTJGA

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/PVCBTJGAXAQXLDZSG27VBH2IZ3 \
  | 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: 7d4419a4c0b821758f3236bf509f48cef0f0998eab8b3a83e2c6bdd42665f890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a93965bd839c21da62f8283888c3380f66a7fe86436da22ac9148fd0f36ce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-13T23:57:55Z",
    "title_canon_sha256": "96a4bbc97ef6123409c38e21e99a050f032283fa441e3bb3855b1c801d17dcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04891",
    "kind": "arxiv",
    "version": 2
  }
}