Pith Number

pith:WJHGRAZ4

pith:2013:WJHGRAZ4UGAQTGGNZUGPQ6M7BM

not attested not anchored not stored refs pending

Minimization of a fractional perimeter-Dirichlet integral functional

Enrico Valdinoci, Luis Caffarelli, Ovidiu Savin

arxiv:1306.5337 v1 · 2013-06-22 · 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{WJHGRAZ4UGAQTGGNZUGPQ6M7BM}

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	2026-05-18T03:20:08.493245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24e68833ca1810998cdcd0cf8799f0b035dfe7022f84fb7c8ea60cc1232c4ed

Aliases

arxiv: 1306.5337 · arxiv_version: 1306.5337v1 · doi: 10.48550/arxiv.1306.5337 · pith_short_12: WJHGRAZ4UGAQ · pith_short_16: WJHGRAZ4UGAQTGGN · pith_short_8: WJHGRAZ4

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/WJHGRAZ4UGAQTGGNZUGPQ6M7BM \
  | 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: b24e68833ca1810998cdcd0cf8799f0b035dfe7022f84fb7c8ea60cc1232c4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b895f3c4822e775498fac39f091e317affad8cc8550cf96cd07dbde7458dbfcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-22T17:13:00Z",
    "title_canon_sha256": "b43f4d0240b7dd79b54e3906ae76dccdf84640ae4fd41ff667d7a97d79dd7db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5337",
    "kind": "arxiv",
    "version": 1
  }
}