Pith Number

pith:BH4VX6W7

pith:2008:BH4VX6W72VZ4IFIHVW7K5KKUVL

not attested not anchored not stored refs pending

Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1

A. Vasseur, C. Michoski

arxiv:0811.2168 v1 · 2008-11-13 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BH4VX6W72VZ4IFIHVW7K5KKUVL}

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	2026-05-18T04:32:22.233067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f95bfadfd573c41507adbeaea954aaf2304af3f958c8694efa475c0e10f010

Aliases

arxiv: 0811.2168 · arxiv_version: 0811.2168v1 · doi: 10.48550/arxiv.0811.2168 · pith_short_12: BH4VX6W72VZ4 · pith_short_16: BH4VX6W72VZ4IFIH · pith_short_8: BH4VX6W7

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/BH4VX6W72VZ4IFIHVW7K5KKUVL \
  | 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: 09f95bfadfd573c41507adbeaea954aaf2304af3f958c8694efa475c0e10f010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fa45eea20ecda26296fd872291f7cbfff44449a653c0f4262bc9ad63815c6f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-13T16:49:19Z",
    "title_canon_sha256": "c7a933ab3df41af61e14634f8ba80cf12f0ffdec4f51c9c2f6508c1a96669937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2168",
    "kind": "arxiv",
    "version": 1
  }
}