Pith Number

pith:M2CRLFUM

pith:2011:M2CRLFUMB5SFAJNR5STYAHEMTQ

not attested not anchored not stored refs pending

Well-posedness for a multi-dimensional viscous liquid-gas two-phase flow model

Chengchun Hao, Hai-Liang Li

arxiv:1107.4179 v3 · 2011-07-21 · 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{M2CRLFUMB5SFAJNR5STYAHEMTQ}

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	2026-05-18T03:56:35.358338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668515968c0f645025b1eca7801c8c9c0e03236cf1bfb270c47050244fb1d035

Aliases

arxiv: 1107.4179 · arxiv_version: 1107.4179v3 · doi: 10.48550/arxiv.1107.4179 · pith_short_12: M2CRLFUMB5SF · pith_short_16: M2CRLFUMB5SFAJNR · pith_short_8: M2CRLFUM

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/M2CRLFUMB5SFAJNR5STYAHEMTQ \
  | 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: 668515968c0f645025b1eca7801c8c9c0e03236cf1bfb270c47050244fb1d035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9c4beccb95314780a231f9805122b7d7091e8b21073ecb6dca488ded49f318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-21T06:26:17Z",
    "title_canon_sha256": "b800c57bc00ee4306a8d52d330b0f287d115f1b69230952daf38da272b622ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4179",
    "kind": "arxiv",
    "version": 3
  }
}