Pith Number

pith:QRKW3R3A

pith:2011:QRKW3R3A7YFJTTARZ2H4MRHU27

not attested not anchored not stored refs pending

Existence of Smooth Solutions to Coupled Chemotaxis-Fluid Equations

Jihoon Lee, Kyungkeun Kang, Myeongju Chae

arxiv:1112.4566 v2 · 2011-12-20 · 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{QRKW3R3A7YFJTTARZ2H4MRHU27}

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	2026-05-18T04:02:01.601434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84556dc760fe0a99cc11ce8fc644f4d7f30912520a796448bf584ff69881252c

Aliases

arxiv: 1112.4566 · arxiv_version: 1112.4566v2 · doi: 10.48550/arxiv.1112.4566 · pith_short_12: QRKW3R3A7YFJ · pith_short_16: QRKW3R3A7YFJTTAR · pith_short_8: QRKW3R3A

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/QRKW3R3A7YFJTTARZ2H4MRHU27 \
  | 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: 84556dc760fe0a99cc11ce8fc644f4d7f30912520a796448bf584ff69881252c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132f49ea487897f77df1d68f644d3e8d384d4f3e8ded6023f98e7e17406a54bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-20T04:21:24Z",
    "title_canon_sha256": "fb44443862133166f96a294c58e3bae67f292cc3c71c10ccab60e8db1e479bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4566",
    "kind": "arxiv",
    "version": 2
  }
}