Pith Number

pith:J5UPEZHU

pith:2013:J5UPEZHUUBPVDPQEWGAUQBCWDC

not attested not anchored not stored refs pending

Existence and symmetry for elliptic equations in R^n with arbitrary growth in the gradient

Lucas C. F. Ferreira, Marcelo Montenegro, Matheus C. Santos

arxiv:1307.6578 v2 · 2013-07-24 · 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{J5UPEZHUUBPVDPQEWGAUQBCWDC}

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	2026-05-18T02:59:08.636834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f68f264f4a05f51be04b1814804561885edda7606e2d3ea36ad16c178964fd1

Aliases

arxiv: 1307.6578 · arxiv_version: 1307.6578v2 · doi: 10.48550/arxiv.1307.6578 · pith_short_12: J5UPEZHUUBPV · pith_short_16: J5UPEZHUUBPVDPQE · pith_short_8: J5UPEZHU

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/J5UPEZHUUBPVDPQEWGAUQBCWDC \
  | 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: 4f68f264f4a05f51be04b1814804561885edda7606e2d3ea36ad16c178964fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325b0301c2e1774e3efc73b4f2ea26f22c630d3a0bb31f39651517bf761825ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-24T20:50:22Z",
    "title_canon_sha256": "2992250c8b41ce13e5a2db71e0ab4ed36e64e2600cf33f0e17d8325b96bb5c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6578",
    "kind": "arxiv",
    "version": 2
  }
}