Pith Number

pith:VFVRG7LN

pith:2013:VFVRG7LNF6WIXJT2E3ZWARINFY

not attested not anchored not stored refs pending

Positive solutions of quasilinear elliptic equations with subquadratic growth in the gradient

Moshe Marcus, Phuoc-Tai Nguyen

arxiv:1311.7519 v1 · 2013-11-29 · 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{VFVRG7LNF6WIXJT2E3ZWARINFY}

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	2026-05-18T03:05:55.984406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96b137d6d2fac8ba67a26f360450d2e2d9086cb0df781b8253194177ca0085f

Aliases

arxiv: 1311.7519 · arxiv_version: 1311.7519v1 · doi: 10.48550/arxiv.1311.7519 · pith_short_12: VFVRG7LNF6WI · pith_short_16: VFVRG7LNF6WIXJT2 · pith_short_8: VFVRG7LN

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/VFVRG7LNF6WIXJT2E3ZWARINFY \
  | 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: a96b137d6d2fac8ba67a26f360450d2e2d9086cb0df781b8253194177ca0085f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a068c2d83c1dc6c6e947e6582aa3909b763fc6885eeb83846d017d427aea0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-29T11:04:25Z",
    "title_canon_sha256": "7d8bb7ddcbe76832cfd7d390ab459992d90131ccaf001147a7ba25c151e5bbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7519",
    "kind": "arxiv",
    "version": 1
  }
}