Pith Number

pith:JZ5YZBKO

pith:2016:JZ5YZBKOJM5FUF6CHG2VVWHYIU

not attested not anchored not stored refs pending

Two integrable classes of Emden-Fowler equations with applications in astrophysics and cosmology

H.C. Rosu, S.C. Mancas

arxiv:1604.04807 v3 · 2016-04-16 · 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{JZ5YZBKOJM5FUF6CHG2VVWHYIU}

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	2026-05-17T23:51:40.013245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7b8c854e4b3a5a17c239b55ad8f8451797229a00cf0e4827288da522f38e54

Aliases

arxiv: 1604.04807 · arxiv_version: 1604.04807v3 · doi: 10.48550/arxiv.1604.04807 · pith_short_12: JZ5YZBKOJM5F · pith_short_16: JZ5YZBKOJM5FUF6C · pith_short_8: JZ5YZBKO

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/JZ5YZBKOJM5FUF6CHG2VVWHYIU \
  | 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: 4e7b8c854e4b3a5a17c239b55ad8f8451797229a00cf0e4827288da522f38e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbad1763d7259cf0ead51152e33f302e576f3c61f78931611e78ff87fd2a0c2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-16T22:53:52Z",
    "title_canon_sha256": "82745846738ff5bbeea9bc5e9d3414d50fa90415173f6cd383e9564b35d28bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04807",
    "kind": "arxiv",
    "version": 3
  }
}