Pith Number

pith:LYZNYVRI

pith:2016:LYZNYVRIW4ZLHGYOU4ARIXRPW4

not attested not anchored not stored refs pending

Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions

Lukas Neumann, Manas Sahoo, Marko Nedeljkov, Michael Oberguggenberger

arxiv:1606.02100 v2 · 2016-06-07 · 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{LYZNYVRIW4ZLHGYOU4ARIXRPW4}

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	2026-05-18T00:48:32.864766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e32dc5628b732b39b0ea701145e2fb71c81567b510204b9e6fad567b18e8b2c

Aliases

arxiv: 1606.02100 · arxiv_version: 1606.02100v2 · doi: 10.48550/arxiv.1606.02100 · pith_short_12: LYZNYVRIW4ZL · pith_short_16: LYZNYVRIW4ZLHGYO · pith_short_8: LYZNYVRI

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/LYZNYVRIW4ZLHGYOU4ARIXRPW4 \
  | 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: 5e32dc5628b732b39b0ea701145e2fb71c81567b510204b9e6fad567b18e8b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a10fdf5117009b244b7b36347aff992dbadbf42e13af9f5bd6894c5715e171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-07T11:35:08Z",
    "title_canon_sha256": "4185b8f3b8988c501077eb2464aee5835621d0def4517b57bc466489739e2fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02100",
    "kind": "arxiv",
    "version": 2
  }
}