Pith Number

pith:A56P2JZ6

pith:2016:A56P2JZ6CXMBOBHMLHUM6KNSQS

not attested not anchored not stored refs pending

Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on $\mathbb{R}^2$

Barbara Lee Keyfitz, Feride Tiglay, John Holmes

arxiv:1611.05894 v1 · 2016-11-17 · 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{A56P2JZ6CXMBOBHMLHUM6KNSQS}

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	2026-05-18T00:57:43.526128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077cfd273e15d81704ec59e8cf29b284b3337ac18b472f17d11061652e11e186

Aliases

arxiv: 1611.05894 · arxiv_version: 1611.05894v1 · doi: 10.48550/arxiv.1611.05894 · pith_short_12: A56P2JZ6CXMB · pith_short_16: A56P2JZ6CXMBOBHM · pith_short_8: A56P2JZ6

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/A56P2JZ6CXMBOBHMLHUM6KNSQS \
  | 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: 077cfd273e15d81704ec59e8cf29b284b3337ac18b472f17d11061652e11e186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b102c58200ecc8e312df626005a46d7c65b362357da934a47afd7bb964093e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-17T21:08:10Z",
    "title_canon_sha256": "2ea65be58c960f8290d5d4020679d1758d4bb443f1e2c98c29cfcb3fcce4e9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05894",
    "kind": "arxiv",
    "version": 1
  }
}