Pith Number

pith:DL3JX537

pith:2015:DL3JX537SL3MMCUXLU35PNCI3C

not attested not anchored not stored refs pending

Optimal Decay Rates of Classical Solutions for the Full Compressible MHD Equations

Jincheng Gao, Qiang Tao, Zheng-an Yao

arxiv:1506.02482 v1 · 2015-06-08 · 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{DL3JX537SL3MMCUXLU35PNCI3C}

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	2026-05-18T01:15:52.848207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af69bf77f92f6c60a975d37d7b448d880558464906f967767f16a99b8246eed

Aliases

arxiv: 1506.02482 · arxiv_version: 1506.02482v1 · doi: 10.48550/arxiv.1506.02482 · pith_short_12: DL3JX537SL3M · pith_short_16: DL3JX537SL3MMCUX · pith_short_8: DL3JX537

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/DL3JX537SL3MMCUXLU35PNCI3C \
  | 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: 1af69bf77f92f6c60a975d37d7b448d880558464906f967767f16a99b8246eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470071e2eee650cb272128355c5331141adac552b01d1f86185f7028f8415cee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-08T13:28:16Z",
    "title_canon_sha256": "c4ba2c33df4531578abbe8ccb88e612975518bfcb72a0de316b815317540fd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02482",
    "kind": "arxiv",
    "version": 1
  }
}