Pith Number

pith:VRGUBSBY

pith:2016:VRGUBSBYYXHK7737FVWNJ6JAVB

not attested not anchored not stored refs pending

On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation

Huan Yu, Jiahong Wu, Jitao Liu, Quansen Jiu

arxiv:1611.04236 v1 · 2016-11-14 · 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{VRGUBSBYYXHK7737FVWNJ6JAVB}

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	2026-05-18T00:34:52.390960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4d40c838c5ceafff7f2d6cd4f920a87cc98d51da635641e4e3eadbd8094f6d

Aliases

arxiv: 1611.04236 · arxiv_version: 1611.04236v1 · doi: 10.48550/arxiv.1611.04236 · pith_short_12: VRGUBSBYYXHK · pith_short_16: VRGUBSBYYXHK7737 · pith_short_8: VRGUBSBY

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/VRGUBSBYYXHK7737FVWNJ6JAVB \
  | 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: ac4d40c838c5ceafff7f2d6cd4f920a87cc98d51da635641e4e3eadbd8094f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc144a93c0f789b6866e4e23d59100a7bfeec7aa6a03702170633794c54af1a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-14T03:03:58Z",
    "title_canon_sha256": "79979a8c70f3abab996dde3e57993a08e5927093b70d85f68d0ad804379bd061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04236",
    "kind": "arxiv",
    "version": 1
  }
}