Pith Number

pith:XD32HA5L

pith:2012:XD32HA5LT6YAG4SQHBNCDM4WM4

not attested not anchored not stored refs pending

Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model

Haibo Cui, Haiyan Yin, Huanyao Wen

arxiv:1201.1560 v2 · 2012-01-07 · 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{XD32HA5LT6YAG4SQHBNCDM4WM4}

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	2026-05-18T01:58:54.494175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f7a383ab9fb0037250385a21b396671cd731b35509e504b622a38ed5fa0a83

Aliases

arxiv: 1201.1560 · arxiv_version: 1201.1560v2 · doi: 10.48550/arxiv.1201.1560 · pith_short_12: XD32HA5LT6YA · pith_short_16: XD32HA5LT6YAG4SQ · pith_short_8: XD32HA5L

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/XD32HA5LT6YAG4SQHBNCDM4WM4 \
  | 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: b8f7a383ab9fb0037250385a21b396671cd731b35509e504b622a38ed5fa0a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d769b34a2dd1b5ad1fd81497cb4a346df9414607c09fe8c78f5fc709323b341b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-07T14:17:27Z",
    "title_canon_sha256": "f4141ef2f56fb4a98536d072f16afea5e2e2e5ecb8887ab45df02c3e9f5bf7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1560",
    "kind": "arxiv",
    "version": 2
  }
}