Pith Number

pith:2M6R3IE4

pith:2015:2M6R3IE4RQHIJES2FQE3CW3QP2

not attested not anchored not stored refs pending

Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces

Jihong Zhao, Qiao Liu

arxiv:1508.02023 v2 · 2015-08-09 · 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{2M6R3IE4RQHIJES2FQE3CW3QP2}

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	2026-05-18T01:35:15.627893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33d1da09c8c0e84925a2c09b15b707eb28a721e7d686b3c3efa3d430bbcf2d2

Aliases

arxiv: 1508.02023 · arxiv_version: 1508.02023v2 · doi: 10.48550/arxiv.1508.02023 · pith_short_12: 2M6R3IE4RQHI · pith_short_16: 2M6R3IE4RQHIJES2 · pith_short_8: 2M6R3IE4

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/2M6R3IE4RQHIJES2FQE3CW3QP2 \
  | 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: d33d1da09c8c0e84925a2c09b15b707eb28a721e7d686b3c3efa3d430bbcf2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1db8bdf6f3531ea3af780a7e95071651c5997c149512b2d941cbcb4ddce321f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-09T14:12:40Z",
    "title_canon_sha256": "9fb45ac23299e4e5d453006c539b45e351c34321ad22ac8d890da1cd34b6bf69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02023",
    "kind": "arxiv",
    "version": 2
  }
}