Pith Number

pith:JJCFDKAF

pith:2015:JJCFDKAFBAZFPYJP7BAGZXV4XO

not attested not anchored not stored refs pending

Global Existence and Optimal Decay Rates of Solutions for Compressible Hall-MHD Equations

Jincheng Gao, Zheng-an Yao

arxiv:1505.00427 v1 · 2015-05-03 · 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{JJCFDKAFBAZFPYJP7BAGZXV4XO}

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	2026-05-18T02:17:03.071359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4451a805083257e12ff8406cdebcbb8264d4d07a6993525b64d25deead08c4

Aliases

arxiv: 1505.00427 · arxiv_version: 1505.00427v1 · doi: 10.48550/arxiv.1505.00427 · pith_short_12: JJCFDKAFBAZF · pith_short_16: JJCFDKAFBAZFPYJP · pith_short_8: JJCFDKAF

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/JJCFDKAFBAZFPYJP7BAGZXV4XO \
  | 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: 4a4451a805083257e12ff8406cdebcbb8264d4d07a6993525b64d25deead08c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dabf95332b117fc2fedd81ef1e8667bf724742609bb3776e309a0d11511512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-03T13:01:46Z",
    "title_canon_sha256": "906486d21733841766af735601f84cf0d5c590d83ffda01bfc508a219b775fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00427",
    "kind": "arxiv",
    "version": 1
  }
}