Pith Number

pith:X72DLQG4

pith:2012:X72DLQG4X7UXKIIO6ZO77X7ZHW

not attested not anchored not stored refs pending

On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations

Tetu Makino

arxiv:1210.3670 v8 · 2012-10-13 · 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{X72DLQG4X7UXKIIO6ZO77X7ZHW}

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	2026-05-18T01:35:01.797482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff435c0dcbfe975210ef65dffdff93da9b533c6c22e0fc994db97bf6b3c1349

Aliases

arxiv: 1210.3670 · arxiv_version: 1210.3670v8 · doi: 10.48550/arxiv.1210.3670 · pith_short_12: X72DLQG4X7UX · pith_short_16: X72DLQG4X7UXKIIO · pith_short_8: X72DLQG4

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/X72DLQG4X7UXKIIO6ZO77X7ZHW \
  | 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: bff435c0dcbfe975210ef65dffdff93da9b533c6c22e0fc994db97bf6b3c1349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31168eea72fcb53c261624c419de3e00d917c9f3457e9cd27ac0bb21212a02e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-13T02:54:59Z",
    "title_canon_sha256": "f8d4e5fc36b1b4dbd1b4d5bdd3d9d1ae1a6f2ad5c8d9af60a42e5203974e5b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3670",
    "kind": "arxiv",
    "version": 8
  }
}