Pith Number

pith:V7Y4QS3O

pith:2012:V7Y4QS3OCGKEPQBCLBOTS5T2I7

not attested not anchored not stored refs pending

Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models

Alberto Ferrero, Elvise Berchio, Gabriele Grillo

arxiv:1211.2762 v1 · 2012-11-08 · math.DG · 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{V7Y4QS3OCGKEPQBCLBOTS5T2I7}

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	2026-05-18T03:41:01.836354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff1c84b6e119447c022585d39767a47fc38028be0aa560cd50f703298c77a2f

Aliases

arxiv: 1211.2762 · arxiv_version: 1211.2762v1 · doi: 10.48550/arxiv.1211.2762 · pith_short_12: V7Y4QS3OCGKE · pith_short_16: V7Y4QS3OCGKEPQBC · pith_short_8: V7Y4QS3O

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/V7Y4QS3OCGKEPQBCLBOTS5T2I7 \
  | 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: aff1c84b6e119447c022585d39767a47fc38028be0aa560cd50f703298c77a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc283ba3355d990dc0f260d7f0d733af6c13ee8bf4ca1e58ae28f3dbacf8be9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-08T12:38:35Z",
    "title_canon_sha256": "d33b7e60842e110c103f60a47c9cb7ecdded56330e677dedc723b550cfd8708b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2762",
    "kind": "arxiv",
    "version": 1
  }
}