Pith Number

pith:NAT2QT6M

pith:2018:NAT2QT6MMEHF64HTAA7LTDEVSW

not attested not anchored not stored refs pending

Global well-posedness of the 2-D incompressible Navier-Stokes-Cahn-Hilliard system with a singular free energy density

Guilong Gui, Zhenbang Li

arxiv:1810.12705 v2 · 2018-10-30 · 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{NAT2QT6MMEHF64HTAA7LTDEVSW}

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	2026-05-18T00:00:34.663792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6827a84fcc610e5f70f3003eb98c9595a76bc7008298b0d08a7c3ba154fa1ab2

Aliases

arxiv: 1810.12705 · arxiv_version: 1810.12705v2 · doi: 10.48550/arxiv.1810.12705 · pith_short_12: NAT2QT6MMEHF · pith_short_16: NAT2QT6MMEHF64HT · pith_short_8: NAT2QT6M

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/NAT2QT6MMEHF64HTAA7LTDEVSW \
  | 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: 6827a84fcc610e5f70f3003eb98c9595a76bc7008298b0d08a7c3ba154fa1ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6482ca58b7ac66b11f4f1e639236be375ed7f392ce332e16053e9d37a6121a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-30T12:38:54Z",
    "title_canon_sha256": "61a07d6a0e01a945b47aae32412756357f49843a3939864f6046c03d10dc8d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12705",
    "kind": "arxiv",
    "version": 2
  }
}