Pith Number

pith:46KI4OO3

pith:2015:46KI4OO3TJ4TCBKURSQ3VHRWHK

not attested not anchored not stored refs pending

Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations

Dongfen Bian, Huijiang Zhao, Lili Fan, Lin He

arxiv:1506.06304 v1 · 2015-06-21 · 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{46KI4OO3TJ4TCBKURSQ3VHRWHK}

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	2026-05-18T01:41:45.547031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7948e39db9a793105548ca1ba9e363a9f94f57b3ef73a58f6f1f3c2989012d4

Aliases

arxiv: 1506.06304 · arxiv_version: 1506.06304v1 · doi: 10.48550/arxiv.1506.06304 · pith_short_12: 46KI4OO3TJ4T · pith_short_16: 46KI4OO3TJ4TCBKU · pith_short_8: 46KI4OO3

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/46KI4OO3TJ4TCBKURSQ3VHRWHK \
  | 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: e7948e39db9a793105548ca1ba9e363a9f94f57b3ef73a58f6f1f3c2989012d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f6b177bbd8f9e98cd01b7e9b0b7ebeb051c0c711ea0dc3ec220b77bda18617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-21T00:09:50Z",
    "title_canon_sha256": "498b1f37aea4ba237746d92cd1c5b37807ac082a22fafcb05ecf9f5b5dd739ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06304",
    "kind": "arxiv",
    "version": 1
  }
}