Pith Number

pith:I7PKO3TT

pith:2012:I7PKO3TTCPCWVBWGZM72YLBQAM

not attested not anchored not stored refs pending

On One-dimensional Compressible Navier-Stokes Equations with Degenerate Viscosity and Constant State at Far fields

Changsheng Dou, Quansen Jiu

arxiv:1203.4306 v1 · 2012-03-20 · 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{I7PKO3TTCPCWVBWGZM72YLBQAM}

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	2026-05-18T01:58:05.762157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47dea76e7313c56a86c6cb3fac2c300305a32fc247afbab058a9886d2414370d

Aliases

arxiv: 1203.4306 · arxiv_version: 1203.4306v1 · doi: 10.48550/arxiv.1203.4306 · pith_short_12: I7PKO3TTCPCW · pith_short_16: I7PKO3TTCPCWVBWG · pith_short_8: I7PKO3TT

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/I7PKO3TTCPCWVBWGZM72YLBQAM \
  | 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: 47dea76e7313c56a86c6cb3fac2c300305a32fc247afbab058a9886d2414370d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d376ee2c3e0e5ead94651eaaeff43984eb513d37d387745bc078f881180085e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-20T01:39:05Z",
    "title_canon_sha256": "34cd5bf017e8190314ddb77f97d688a9340da250463b1f390e7e6b2c3ebedee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4306",
    "kind": "arxiv",
    "version": 1
  }
}