Pith Number

pith:FXK4GJXG

pith:2012:FXK4GJXGMOQ4ZUAX66XMSUSLWZ

not attested not anchored not stored refs pending

Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects

Hao Wu, Xiang Xu

arxiv:1204.6013 v2 · 2012-04-26 · 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{FXK4GJXGMOQ4ZUAX66XMSUSLWZ}

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	2026-05-18T03:32:45.299990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd5c326e663a1ccd017f7aec9524bb643511c8fdbb8b553d65866716b60267e

Aliases

arxiv: 1204.6013 · arxiv_version: 1204.6013v2 · doi: 10.48550/arxiv.1204.6013 · pith_short_12: FXK4GJXGMOQ4 · pith_short_16: FXK4GJXGMOQ4ZUAX · pith_short_8: FXK4GJXG

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/FXK4GJXGMOQ4ZUAX66XMSUSLWZ \
  | 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: 2dd5c326e663a1ccd017f7aec9524bb643511c8fdbb8b553d65866716b60267e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f320d4c435eb5c9c610c0a208ed219ba2164b5009f7cdb3a7284c2f0773de8c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-26T19:08:36Z",
    "title_canon_sha256": "17c0ea732a4a55e220e0d6c8c20cd29a56f271f06c8c2cb949d6958b0392b074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6013",
    "kind": "arxiv",
    "version": 2
  }
}