Pith Number

pith:UMUVB2C4

pith:2020:UMUVB2C43XVM6YHDO6EXZRJPK2

not attested not anchored not stored refs pending

Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations

Qian Yuan, Yuan Yuan

arxiv:2012.13934 v2 · 2020-12-27 · 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{UMUVB2C43XVM6YHDO6EXZRJPK2}

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	2026-07-05T02:31:03.000743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32950e85cddeacf60e377897cc52f568c95a54d1f335ff4938d92578f2f5df1

Aliases

arxiv: 2012.13934 · arxiv_version: 2012.13934v2 · doi: 10.48550/arxiv.2012.13934 · pith_short_12: UMUVB2C43XVM · pith_short_16: UMUVB2C43XVM6YHD · pith_short_8: UMUVB2C4

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/UMUVB2C43XVM6YHDO6EXZRJPK2 \
  | 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: a32950e85cddeacf60e377897cc52f568c95a54d1f335ff4938d92578f2f5df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2c4e703d40aa8a648f3127051cbb4a2dad180359f7edbed4f8aa9b776c4022",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-27T13:00:41Z",
    "title_canon_sha256": "afcc880f431e42a7d3e7c59d5cf025aae705de4572c030ad09debb9836855695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13934",
    "kind": "arxiv",
    "version": 2
  }
}