Pith Number

pith:632A3KH4

pith:2019:632A3KH432L3RF74PVXLF6AL4O

not attested not anchored not stored refs pending

On smooth approximations of rough vector fields and the selection of flows

Gennaro Ciampa, Gianluca Crippa, Stefano Spirito

arxiv:1902.00710 v1 · 2019-02-02 · 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{632A3KH432L3RF74PVXLF6AL4O}

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	2026-05-17T23:54:52.377161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f40da8fcde97b897fc7d6eb2f80be3bf68e50f231f6d5e9c77355abb710a1d

Aliases

arxiv: 1902.00710 · arxiv_version: 1902.00710v1 · doi: 10.48550/arxiv.1902.00710 · pith_short_12: 632A3KH432L3 · pith_short_16: 632A3KH432L3RF74 · pith_short_8: 632A3KH4

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/632A3KH432L3RF74PVXLF6AL4O \
  | 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: f6f40da8fcde97b897fc7d6eb2f80be3bf68e50f231f6d5e9c77355abb710a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ea19cb04734a0eaa4a38eb0db0d17889f092ed40176b7728081cb3c48d47bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-02T12:34:55Z",
    "title_canon_sha256": "b70235f4dd8fda361399132379d53c8207350b9cf6274d7d58446f732f7f7f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00710",
    "kind": "arxiv",
    "version": 1
  }
}