Pith Number

pith:4MJCOEEV

pith:2024:4MJCOEEVPKIOUF4KR7OFKOFBDA

not attested not anchored not stored refs pending

Conservation Laws with Discontinuous Gradient-Dependent Flux: the Unstable Case

Alberto Bressan, Debora Amadori, Wen Shen

arxiv:2411.13444 v2 · 2024-11-20 · 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{4MJCOEEVPKIOUF4KR7OFKOFBDA}

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	2026-07-20T02:19:13.796457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3122710957a90ea178a8fdc5538a1181afda1eaf4c2a71ee5a87285483ff004

Aliases

arxiv: 2411.13444 · arxiv_version: 2411.13444v2 · doi: 10.48550/arxiv.2411.13444 · pith_short_12: 4MJCOEEVPKIO · pith_short_16: 4MJCOEEVPKIOUF4K · pith_short_8: 4MJCOEEV

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/4MJCOEEVPKIOUF4KR7OFKOFBDA \
  | 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: e3122710957a90ea178a8fdc5538a1181afda1eaf4c2a71ee5a87285483ff004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0fe659d162444101ee1779c90b43273d3d1f37d57ec03100ef33fa104a01d58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-20T16:35:54Z",
    "title_canon_sha256": "6d3aa9065b240b1bd411fb7e5b4ae4aa811bd9e55c9a5c91903d2a21851f091f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13444",
    "kind": "arxiv",
    "version": 2
  }
}