Pith Number

pith:YTBRJ4TM

pith:2016:YTBRJ4TMWNW3HPVJR5EF446WIX

not attested not anchored not stored refs pending

Generalized Thomas-Fermi Equations as the Lampariello Class of Emden-Fowler Equations

Haret C. Rosu, Stefan C. Mancas

arxiv:1607.07072 v4 · 2016-07-24 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTBRJ4TMWNW3HPVJR5EF446WIX}

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	2026-05-18T00:46:20.871247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c314f26cb36db3bea98f485e73d645d01c844924b79e01e93235a34582e56b

Aliases

arxiv: 1607.07072 · arxiv_version: 1607.07072v4 · doi: 10.48550/arxiv.1607.07072 · pith_short_12: YTBRJ4TMWNW3 · pith_short_16: YTBRJ4TMWNW3HPVJ · pith_short_8: YTBRJ4TM

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/YTBRJ4TMWNW3HPVJR5EF446WIX \
  | 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: c4c314f26cb36db3bea98f485e73d645d01c844924b79e01e93235a34582e56b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9500436d063bc52da24e0e9735ceebce4134ff4554697d98a8675f3af4dffa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-24T17:32:16Z",
    "title_canon_sha256": "8b09c92fff3559adb4701568c4295a904e750a132c0572445a1b9322477ff506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07072",
    "kind": "arxiv",
    "version": 4
  }
}