Pith Number

pith:TBIDVXIR

pith:2020:TBIDVXIR5AZJL5AL54TFFXBECC

not attested not anchored not stored refs pending

Asymptotic stability of planar rarefaction waves for 3-d isentropic Navier-Stokes equations under periodic perturbations

Feimin Huang, Lingda Xu, Qian Yuan

arxiv:2012.13888 v1 · 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{TBIDVXIR5AZJL5AL54TFFXBECC}

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	2026-07-05T02:02:13.686052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98503add11e83295f40bef2652dc241094bcd618d9b97b3fff042b46520d55c8

Aliases

arxiv: 2012.13888 · arxiv_version: 2012.13888v1 · doi: 10.48550/arxiv.2012.13888 · pith_short_12: TBIDVXIR5AZJ · pith_short_16: TBIDVXIR5AZJL5AL · pith_short_8: TBIDVXIR

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/TBIDVXIR5AZJL5AL54TFFXBECC \
  | 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: 98503add11e83295f40bef2652dc241094bcd618d9b97b3fff042b46520d55c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffdca421471572154b865c9b7a888e748b98c4e1bc31fd0111b3b307a6c52f8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-27T08:17:59Z",
    "title_canon_sha256": "d0e088fc234e2804fe4409fdacbc027d707f8a12798ac7347bc545adefc2b1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13888",
    "kind": "arxiv",
    "version": 1
  }
}