Pith Number

pith:D3YERVGP

pith:2012:D3YERVGPG2DNBD5G2WQ2JUYWNV

not attested not anchored not stored refs pending

A blow-up criterion for 3-D compressible visco-elasticity

Chun Liu, Qingtian Zhang, Yi Du

arxiv:1202.3693 v3 · 2012-02-16 · 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{D3YERVGPG2DNBD5G2WQ2JUYWNV}

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	2026-05-18T03:58:49.099606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef048d4cf3686d08fa6d5a1a4d3166d7c78709e3768cd83d5ca1d1b652e6c1a

Aliases

arxiv: 1202.3693 · arxiv_version: 1202.3693v3 · doi: 10.48550/arxiv.1202.3693 · pith_short_12: D3YERVGPG2DN · pith_short_16: D3YERVGPG2DNBD5G · pith_short_8: D3YERVGP

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/D3YERVGPG2DNBD5G2WQ2JUYWNV \
  | 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: 1ef048d4cf3686d08fa6d5a1a4d3166d7c78709e3768cd83d5ca1d1b652e6c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb23bb55b8e77bdab9903e0e7fd9a2540b27c5983862b50732960a492f924166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-16T20:53:50Z",
    "title_canon_sha256": "67b9d1ee57aa6cfebd79ee6370ffe704d2780f7198df2fa3fa651a3b3fa85c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3693",
    "kind": "arxiv",
    "version": 3
  }
}