Pith Number

pith:4RNBSHEC

pith:2010:4RNBSHEC6AEVY4WYRI7RWQP4U7

not attested not anchored not stored refs pending

Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations

Feimin Huang, Mingjie Li, Yi Wang

arxiv:1011.1991 v2 · 2010-11-09 · math.AP · math-ph · 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{4RNBSHEC6AEVY4WYRI7RWQP4U7}

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	2026-05-18T04:08:03.864748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45a191c82f0095c72d88a3f1b41fca7c1dff3f970b97722894c7dd631767ce2

Aliases

arxiv: 1011.1991 · arxiv_version: 1011.1991v2 · doi: 10.48550/arxiv.1011.1991 · pith_short_12: 4RNBSHEC6AEV · pith_short_16: 4RNBSHEC6AEVY4WY · pith_short_8: 4RNBSHEC

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/4RNBSHEC6AEVY4WYRI7RWQP4U7 \
  | 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: e45a191c82f0095c72d88a3f1b41fca7c1dff3f970b97722894c7dd631767ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7311c2fcaa68f68893fee624c119cde2f8f81e7b814c2ca58b844a6750903db3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T07:29:11Z",
    "title_canon_sha256": "785c3066271f5aea33424692f1e6f6571a8886cc74657fa97be99ca67aa942c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1991",
    "kind": "arxiv",
    "version": 2
  }
}