Pith Number

pith:CM5XLCUL

pith:2011:CM5XLCULOQN56P5BUPNBV7XCA4

not attested not anchored not stored refs pending

Density estimates for a nonlocal variational model via the Sobolev inequality

Enrico Valdinoci, Ovidiu Savin

arxiv:1103.6205 v1 · 2011-03-31 · 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{CM5XLCULOQN56P5BUPNBV7XCA4}

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	2026-05-18T04:25:13.723971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133b758a8b741bdf3fa1a3da1afee2071e2a87b3ba26da35e5f1a06bf588ed25

Aliases

arxiv: 1103.6205 · arxiv_version: 1103.6205v1 · doi: 10.48550/arxiv.1103.6205 · pith_short_12: CM5XLCULOQN5 · pith_short_16: CM5XLCULOQN56P5B · pith_short_8: CM5XLCUL

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/CM5XLCULOQN56P5BUPNBV7XCA4 \
  | 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: 133b758a8b741bdf3fa1a3da1afee2071e2a87b3ba26da35e5f1a06bf588ed25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bce82ff2abc10f8e5baa4e7b08dd6c71e8595463619f7e15158d3a81f1e82a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-31T15:02:29Z",
    "title_canon_sha256": "8fb56d266aa4910e25c6e46837933463458b85975e1d7f9c3db48ea1f4cf7a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6205",
    "kind": "arxiv",
    "version": 1
  }
}