Pith Number

pith:XUXDD2LT

pith:2025:XUXDD2LT4EV2X3AKTOS4TVGTIQ

not attested not anchored not stored refs pending

A priori error estimates for the $\theta$-method for the flow of nonsmooth velocity fields

Gennaro Ciampa, Gianluca Crippa, Raffaele D'Ambrosio, Stefano Spirito, Tommaso Cortopassi

arxiv:2506.02747 v1 · 2025-06-03 · math.AP · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUXDD2LT4EV2X3AKTOS4TVGTIQ}

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	2026-07-02T01:18:03.113007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2e31e973e12babec0a9ba5c9d4d3443973cf87f941db56648c91e8a38a2b70

Aliases

arxiv: 2506.02747 · arxiv_version: 2506.02747v1 · doi: 10.48550/arxiv.2506.02747 · pith_short_12: XUXDD2LT4EV2 · pith_short_16: XUXDD2LT4EV2X3AK · pith_short_8: XUXDD2LT

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/XUXDD2LT4EV2X3AKTOS4TVGTIQ \
  | 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: bd2e31e973e12babec0a9ba5c9d4d3443973cf87f941db56648c91e8a38a2b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81861b1b5d9a1120bd993192b18f33ed17c62aa16c7b6afeb1a85a715582882",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-03T11:11:01Z",
    "title_canon_sha256": "7f5f9c805200f0d68cf8b89ed85740761f366e3613057a58f74e0550bef5d44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02747",
    "kind": "arxiv",
    "version": 1
  }
}