Pith Number

pith:EHJCEX4S

pith:2011:EHJCEX4SIBZXQVHZY3AIXAIUAF

not attested not anchored not stored refs pending

Global Existence of Weak Solutions to a Nonlocal Cahn-Hilliard-Navier-Stokes System

Maurizio Grasselli, Pierluigi Colli, Sergio Frigeri

arxiv:1101.3906 v2 · 2011-01-20 · 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{EHJCEX4SIBZXQVHZY3AIXAIUAF}

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	2026-05-18T04:28:19.634784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d2225f9240737854f9c6c08b81140177140195e109305b06e4ff46a418de4a

Aliases

arxiv: 1101.3906 · arxiv_version: 1101.3906v2 · doi: 10.48550/arxiv.1101.3906 · pith_short_12: EHJCEX4SIBZX · pith_short_16: EHJCEX4SIBZXQVHZ · pith_short_8: EHJCEX4S

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/EHJCEX4SIBZXQVHZY3AIXAIUAF \
  | 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: 21d2225f9240737854f9c6c08b81140177140195e109305b06e4ff46a418de4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd3e17b535a960950adb14de192398262bb579da81958f98997edee6a3dda7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-20T14:11:16Z",
    "title_canon_sha256": "c97d907e0d10ec29105957e752937788988cb71460f0aad19e9a33a6d4efe8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3906",
    "kind": "arxiv",
    "version": 2
  }
}