Pith Number

pith:KQO74OVG

pith:2020:KQO74OVG4EIY2SSFET7VNVSC3Y

not attested not anchored not stored refs pending

Numerical Study of Non-uniqueness for 2D Compressible Isentropic Euler Equations

Alberto Bressan, Hailiang Liu, Yi Jiang

arxiv:2009.09494 v2 · 2020-09-20 · 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{KQO74OVG4EIY2SSFET7VNVSC3Y}

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	2026-07-05T03:09:15.886762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541dfe3aa6e1118d4a4524ff56d642de25f128ef9f2337a757eaa7bf8494b17a

Aliases

arxiv: 2009.09494 · arxiv_version: 2009.09494v2 · doi: 10.48550/arxiv.2009.09494 · pith_short_12: KQO74OVG4EIY · pith_short_16: KQO74OVG4EIY2SSF · pith_short_8: KQO74OVG

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/KQO74OVG4EIY2SSFET7VNVSC3Y \
  | 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: 541dfe3aa6e1118d4a4524ff56d642de25f128ef9f2337a757eaa7bf8494b17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291c941848b5b9468e9f430993b03cede5331b740b0b95bb2cc1925e557445dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-20T18:39:46Z",
    "title_canon_sha256": "881a084e5a76534c55acfd4565b2d3bdc1f4a14aef9dfbd276bb68243bc7d10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09494",
    "kind": "arxiv",
    "version": 2
  }
}