Pith Number

pith:GZUHVQV6

pith:2011:GZUHVQV6XPPJDIKOT4N47HENLL

not attested not anchored not stored refs pending

Asymptotic Behavior of a Viscous Liquid-Gas Model with Mass-Dependent Viscosity and Vacuum

Changjiang Zhu, Qingqing liu

arxiv:1102.3518 v1 · 2011-02-17 · 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{GZUHVQV6XPPJDIKOT4N47HENLL}

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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	2026-05-18T04:28:28.908514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36687ac2bebbde91a14e9f1bcf9c8d5ae822d7a47be55e22b3727ef506041011

Aliases

arxiv: 1102.3518 · arxiv_version: 1102.3518v1 · doi: 10.48550/arxiv.1102.3518 · pith_short_12: GZUHVQV6XPPJ · pith_short_16: GZUHVQV6XPPJDIKO · pith_short_8: GZUHVQV6

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/GZUHVQV6XPPJDIKOT4N47HENLL \
  | 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: 36687ac2bebbde91a14e9f1bcf9c8d5ae822d7a47be55e22b3727ef506041011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7043161a8975f93dd89365340a88ce4faaf22cc9f8f13f564b2e93d470fbedd1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-17T08:05:42Z",
    "title_canon_sha256": "b0361caff34356bb87558098baf81d5d0e4e39eb7bd6a0057bcf4c017e47e2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3518",
    "kind": "arxiv",
    "version": 1
  }
}