Pith Number

pith:QNEC5RHO

pith:2021:QNEC5RHO5LCCGZB7OJDZDSUCDX

not attested not anchored not stored refs pending

Shock Reflection in Plane Symmetry

Andr\'e Lisibach

arxiv:2112.15266 v1 · 2021-12-31 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNEC5RHO5LCCGZB7OJDZDSUCDX}

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

Constructing characteristic initial data for three dimensional compressible Euler equations

Receipt and verification

First computed	2026-07-05T03:44:38.023131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83482ec4eeeac423643f724791ca821ddc80cc0579a8f26f890cda2c126d34b1

Aliases

arxiv: 2112.15266 · arxiv_version: 2112.15266v1 · doi: 10.48550/arxiv.2112.15266 · pith_short_12: QNEC5RHO5LCC · pith_short_16: QNEC5RHO5LCCGZB7 · pith_short_8: QNEC5RHO

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/QNEC5RHO5LCCGZB7OJDZDSUCDX \
  | 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: 83482ec4eeeac423643f724791ca821ddc80cc0579a8f26f890cda2c126d34b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7316b8c52a582be52cb4e3a8d5f663149f455352a51c8ed7e42c5964771ee70e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-31T01:50:53Z",
    "title_canon_sha256": "3d9e6186bbd82cfac14ae8daf93e71e7ddc3984e5e5434a1bea5e9ea9a552d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15266",
    "kind": "arxiv",
    "version": 1
  }
}