Pith Number

pith:BLTZJ3X6

pith:2012:BLTZJ3X63RCKO67C5KBNVB2JBH

not attested not anchored not stored refs pending

Some monotonicity results for minimizers in the calculus of variations

Enrico Valdinoci, Ovidiu Savin

arxiv:1209.1517 v1 · 2012-09-07 · 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{BLTZJ3X63RCKO67C5KBNVB2JBH}

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	2026-05-18T03:46:04.610951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae794eefedc44a77be2ea82da874909e78fa5088deaec67596dad263ff47e21

Aliases

arxiv: 1209.1517 · arxiv_version: 1209.1517v1 · doi: 10.48550/arxiv.1209.1517 · pith_short_12: BLTZJ3X63RCK · pith_short_16: BLTZJ3X63RCKO67C · pith_short_8: BLTZJ3X6

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/BLTZJ3X63RCKO67C5KBNVB2JBH \
  | 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: 0ae794eefedc44a77be2ea82da874909e78fa5088deaec67596dad263ff47e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1d106ac5476832cc115748e29c3c89b40b7f0de2143f257266d7c3a00f6a20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-07T12:50:16Z",
    "title_canon_sha256": "b8631ef1332c5ff6fb0cf0595abdb904418ed90f748ec5e3c6c780d61e437207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1517",
    "kind": "arxiv",
    "version": 1
  }
}