Pith Number

pith:53IWUZXZ

pith:2014:53IWUZXZRPR33Q3RLONLEEIDS4

not attested not anchored not stored refs pending

On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions

Ciprian G. Gal, Maurizio Grasselli, Sergio Frigeri

arxiv:1401.7954 v2 · 2014-01-30 · 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{53IWUZXZRPR33Q3RLONLEEIDS4}

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	2026-05-18T01:33:32.730216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed16a66f98be3bdc3715b9ab211039703298412a438a8d12bf67e6bc5a992b6

Aliases

arxiv: 1401.7954 · arxiv_version: 1401.7954v2 · doi: 10.48550/arxiv.1401.7954 · pith_short_12: 53IWUZXZRPR3 · pith_short_16: 53IWUZXZRPR33Q3R · pith_short_8: 53IWUZXZ

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/53IWUZXZRPR33Q3RLONLEEIDS4 \
  | 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: eed16a66f98be3bdc3715b9ab211039703298412a438a8d12bf67e6bc5a992b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5638e59f79d1d1ee776962d5bba6cd257978f2ee1e99c052368407bc4b9f6823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-30T19:03:43Z",
    "title_canon_sha256": "6a52203dad9a511bd6e814b909b4eb0bbebe2993dfbd06a5591285283bcf3daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7954",
    "kind": "arxiv",
    "version": 2
  }
}