Pith Number

pith:2OF6R6UO

pith:2017:2OF6R6UOQMFND7KS5ARQWOHXFG

not attested not anchored not stored refs pending

Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints

Adolfo Arroyo-Rabasa, Filip Rindler, Guido De Philippis

arxiv:1701.02230 v2 · 2017-01-09 · 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{2OF6R6UOQMFND7KS5ARQWOHXFG}

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	2026-05-18T00:27:21.843693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38be8fa8e830ad1fd52e8230b38f7299f26dc550e8988f269bdb391b51647da

Aliases

arxiv: 1701.02230 · arxiv_version: 1701.02230v2 · doi: 10.48550/arxiv.1701.02230 · pith_short_12: 2OF6R6UOQMFN · pith_short_16: 2OF6R6UOQMFND7KS · pith_short_8: 2OF6R6UO

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/2OF6R6UOQMFND7KS5ARQWOHXFG \
  | 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: d38be8fa8e830ad1fd52e8230b38f7299f26dc550e8988f269bdb391b51647da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d00aea1f4cde24092d95cde67cfd4fc2201a990b906ce18bcdc00610f899a64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-09T16:17:28Z",
    "title_canon_sha256": "65bd544590d1065c20ce701b423a3ca7efc10c21bac5a38235fc5666e0a6db68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02230",
    "kind": "arxiv",
    "version": 2
  }
}