Pith Number

pith:54XQOWCH

pith:2015:54XQOWCH5GMNIV6JUR7P3U5JSZ

not attested not anchored not stored refs pending

Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness

Francesco Ghiraldin, Graziano Crasta, Guido De Philippis, Virginia De Cicco

arxiv:1509.08273 v2 · 2015-09-28 · 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{54XQOWCH5GMNIV6JUR7P3U5JSZ}

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	2026-05-18T01:13:24.039930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2f075847e998d457c9a47efdd3a99644e80a5b10ad8ae489a3429c6732e665

Aliases

arxiv: 1509.08273 · arxiv_version: 1509.08273v2 · doi: 10.48550/arxiv.1509.08273 · pith_short_12: 54XQOWCH5GMN · pith_short_16: 54XQOWCH5GMNIV6J · pith_short_8: 54XQOWCH

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/54XQOWCH5GMNIV6JUR7P3U5JSZ \
  | 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: ef2f075847e998d457c9a47efdd3a99644e80a5b10ad8ae489a3429c6732e665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da32274d008ee02788ae5c65c421535f6fa9e51bc33dadc4aa0beee3464862d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T11:17:45Z",
    "title_canon_sha256": "1e317ad4a411476a4ca4f043cbd25824b39ad9b236ab0eaf6cb47b03d7ccc266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08273",
    "kind": "arxiv",
    "version": 2
  }
}