Pith Number

pith:QBCIINQ7

pith:2026:QBCIINQ77VLTJFGYITSNORP3G6

not attested not anchored not stored refs pending

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum

Haoran Zheng, Junquan Zhou, Yinghua Li

arxiv:2605.24568 v1 · 2026-05-23 · 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{QBCIINQ77VLTJFGYITSNORP3G6}

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	2026-05-26T01:03:46.757165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804484361ffd573494d844e4d745fb37a9dfb17481da2deaeab55a9661ece16d

Aliases

arxiv: 2605.24568 · arxiv_version: 2605.24568v1 · doi: 10.48550/arxiv.2605.24568 · pith_short_12: QBCIINQ77VLT · pith_short_16: QBCIINQ77VLTJFGY · pith_short_8: QBCIINQ7

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/QBCIINQ77VLTJFGYITSNORP3G6 \
  | 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: 804484361ffd573494d844e4d745fb37a9dfb17481da2deaeab55a9661ece16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7fd89dbec216f22d213daa117280c31735514017325f3ebb2ec72b95489299",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T13:02:40Z",
    "title_canon_sha256": "a869a875df680b9085033fa5b94134ee2faf59a75099d0ce9bc2bedbe6f96dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24568",
    "kind": "arxiv",
    "version": 1
  }
}