Pith Number

pith:FNW2SBZ2

pith:2012:FNW2SBZ2P3NZIFQN2B2G2ACYYD

not attested not anchored not stored refs pending

On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations

Tetu Makino

arxiv:1210.5769 v8 · 2012-10-21 · 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{FNW2SBZ2P3NZIFQN2B2G2ACYYD}

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	2026-05-18T01:35:01.787935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6da9073a7edb94160dd0746d0058c0ca78798b332cee0b569b014461ff62c9

Aliases

arxiv: 1210.5769 · arxiv_version: 1210.5769v8 · doi: 10.48550/arxiv.1210.5769 · pith_short_12: FNW2SBZ2P3NZ · pith_short_16: FNW2SBZ2P3NZIFQN · pith_short_8: FNW2SBZ2

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/FNW2SBZ2P3NZIFQN2B2G2ACYYD \
  | 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: 2b6da9073a7edb94160dd0746d0058c0ca78798b332cee0b569b014461ff62c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d8cdf8a92c10a279d7f70c9cc40dcf6fc788ac20d093e2a9d9f7761ef202ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-21T22:20:34Z",
    "title_canon_sha256": "33ed4fd9d189e638219adc9bd957fa55473d1d655c6baff2744a47cebb26a724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5769",
    "kind": "arxiv",
    "version": 8
  }
}