Pith Number

pith:M4X4TSRJ

pith:2021:M4X4TSRJWTQQAMFK3YGEUK53YE

not attested not anchored not stored refs pending

Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions

Jinkai Li, Yasi Zheng

arxiv:2108.10783 v1 · 2021-08-24 · 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{M4X4TSRJWTQQAMFK3YGEUK53YE}

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	2026-07-05T03:08:40.013150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672fc9ca29b4e10030aade0c4a2bbbc11970ffe13885388171e4d08d9bc5d7d6

Aliases

arxiv: 2108.10783 · arxiv_version: 2108.10783v1 · doi: 10.48550/arxiv.2108.10783 · pith_short_12: M4X4TSRJWTQQ · pith_short_16: M4X4TSRJWTQQAMFK · pith_short_8: M4X4TSRJ

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/M4X4TSRJWTQQAMFK3YGEUK53YE \
  | 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: 672fc9ca29b4e10030aade0c4a2bbbc11970ffe13885388171e4d08d9bc5d7d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e738e7919f147faf59e36c0a2dc8cf6c245297347271dbb9e79bfed5f7abea2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-24T15:07:58Z",
    "title_canon_sha256": "85ebca51130bdaf062c325225a2b14fe7bf44ce3b441ebec1923ce069bae8858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10783",
    "kind": "arxiv",
    "version": 1
  }
}