Pith Number

pith:CTU44SWA

pith:2011:CTU44SWA5GI4W4XB5ZJZZZSIMM

not attested not anchored not stored refs pending

Local and global minimizers for a variational energy involving a fractional norm

Enrico Valdinoci, Giampiero Palatucci, Ovidiu Savin

arxiv:1104.1725 v2 · 2011-04-09 · 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{CTU44SWA5GI4W4XB5ZJZZZSIMM}

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	2026-05-18T04:07:06.688446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e9ce4ac0e991cb72e1ee539ce648631560d5016c84021291fea77ddeadfb4a

Aliases

arxiv: 1104.1725 · arxiv_version: 1104.1725v2 · doi: 10.48550/arxiv.1104.1725 · pith_short_12: CTU44SWA5GI4 · pith_short_16: CTU44SWA5GI4W4XB · pith_short_8: CTU44SWA

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/CTU44SWA5GI4W4XB5ZJZZZSIMM \
  | 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: 14e9ce4ac0e991cb72e1ee539ce648631560d5016c84021291fea77ddeadfb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2144689894f9f1c9e898888f9084e6ec83cdc9aca37fad82ed2096a64d51cbad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-09T17:15:12Z",
    "title_canon_sha256": "2c56c3fde235a27ad9f551be025062e8255d7d7bc76b1fe03e9099efbf009d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1725",
    "kind": "arxiv",
    "version": 2
  }
}