Pith Number

pith:Y7OGDKFN

pith:2010:Y7OGDKFN4PKHB72JDJ464YQQ5C

not attested not anchored not stored refs pending

Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity

Feimin Huang, Tong Yang, Yi Wang

arxiv:1011.1990 v1 · 2010-11-09 · 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{Y7OGDKFN4PKHB72JDJ464YQQ5C}

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	2026-05-18T04:36:42.816140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7dc61a8ade3d470ff491a79ee6210e891979cbbc7225007da03bba3221eba28

Aliases

arxiv: 1011.1990 · arxiv_version: 1011.1990v1 · doi: 10.48550/arxiv.1011.1990 · pith_short_12: Y7OGDKFN4PKH · pith_short_16: Y7OGDKFN4PKHB72J · pith_short_8: Y7OGDKFN

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/Y7OGDKFN4PKHB72JDJ464YQQ5C \
  | 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: c7dc61a8ade3d470ff491a79ee6210e891979cbbc7225007da03bba3221eba28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d08f7dec487224c0f66aa24c9f0a61e3af4d826d817b956b7f8d2082bcf2d4f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T07:25:29Z",
    "title_canon_sha256": "b341e9ed528de44a293e6490af3987591ebd75c9ed8988fef77fa67b8c560b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1990",
    "kind": "arxiv",
    "version": 1
  }
}