Pith Number

pith:NWQTZO2B

pith:2013:NWQTZO2B3R6UZTYQKLTWWFZL4I

not attested not anchored not stored refs pending

Global ill-posedness of the isentropic system of gas dynamics

Camillo De Lellis, Elisabetta Chiodaroli, Ondrej Kreml

arxiv:1304.0123 v2 · 2013-03-30 · 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{NWQTZO2B3R6UZTYQKLTWWFZL4I}

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	2026-05-18T02:44:32.364707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da13cbb41dc7d4ccf1052e76b172be239de6ed8978cadd99722668c1dab9297

Aliases

arxiv: 1304.0123 · arxiv_version: 1304.0123v2 · doi: 10.48550/arxiv.1304.0123 · pith_short_12: NWQTZO2B3R6U · pith_short_16: NWQTZO2B3R6UZTYQ · pith_short_8: NWQTZO2B

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/NWQTZO2B3R6UZTYQKLTWWFZL4I \
  | 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: 6da13cbb41dc7d4ccf1052e76b172be239de6ed8978cadd99722668c1dab9297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa7cf2a6acddb606dc21602bee505122072570db747793d6c5ea7bcd4c92d1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-30T17:07:04Z",
    "title_canon_sha256": "be40d0115862145423c84e8ffa3eda581d4d8fb414057acb055b61911b1b20eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0123",
    "kind": "arxiv",
    "version": 2
  }
}