Pith Number

pith:ZX7KE5ZS

pith:2025:ZX7KE5ZSCNKKE4DASAX6DMUDLF

not attested not anchored not stored refs pending

Global weak solutions to a compressible Navier--Stokes/Cahn--Hilliard system with singular entropy of mixing

Andrea Giorgini, Danica Basari\'c

arxiv:2506.07835 v2 · 2025-06-09 · 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{ZX7KE5ZSCNKKE4DASAX6DMUDLF}

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.

Cited by

1 paper in Pith

On weak solutions for the stationary Cahn-Hillard-Navier-Stokes equations with singular potential

Receipt and verification

First computed	2026-06-19T16:12:46.185793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfea277321354a27060902fe1b2835971450c24f1cb7645a51c71a112b5a00a

Aliases

arxiv: 2506.07835 · arxiv_version: 2506.07835v2 · doi: 10.48550/arxiv.2506.07835 · pith_short_12: ZX7KE5ZSCNKK · pith_short_16: ZX7KE5ZSCNKKE4DA · pith_short_8: ZX7KE5ZS

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/ZX7KE5ZSCNKKE4DASAX6DMUDLF \
  | 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: cdfea277321354a27060902fe1b2835971450c24f1cb7645a51c71a112b5a00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c761f07c1c8bcb98a7ef78a20fd99fce2f79af2f218396bcbc89e925ed34107",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T15:00:38Z",
    "title_canon_sha256": "ff855007e32ec983ddf7affff182e2d1e2e5da5fe5921c621f8e25d0ec129a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07835",
    "kind": "arxiv",
    "version": 2
  }
}