Pith Number

pith:6MBPZF5O

pith:2025:6MBPZF5ODLIXJAIU6KGD2EWZ6U

not attested not anchored not stored refs pending

A convex integration scheme for the continuity equation past the Sobolev embedding threshold

Anuj Kumar, Maria Colombo, Roberto Colombo

arxiv:2504.03578 v1 · 2025-04-04 · 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{6MBPZF5ODLIXJAIU6KGD2EWZ6U}

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.

Cited by

1 paper in Pith

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

Receipt and verification

First computed	2026-07-05T10:44:33.991843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f302fc97ae1ad1748114f28c3d12d9f53f0386565a425899ef115736d6bfa56d

Aliases

arxiv: 2504.03578 · arxiv_version: 2504.03578v1 · doi: 10.48550/arxiv.2504.03578 · pith_short_12: 6MBPZF5ODLIX · pith_short_16: 6MBPZF5ODLIXJAIU · pith_short_8: 6MBPZF5O

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/6MBPZF5ODLIXJAIU6KGD2EWZ6U \
  | 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: f302fc97ae1ad1748114f28c3d12d9f53f0386565a425899ef115736d6bfa56d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07d6230e79f105764f4393e1c4036080ba66ad2c1b9ba690cd3270515f8db7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-04T16:30:24Z",
    "title_canon_sha256": "81e36b92a371d0299530b33795e8f1af1ae203c8ced9ef078cce6435e109a7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03578",
    "kind": "arxiv",
    "version": 1
  }
}