Pith Number

pith:6DC7GO25

pith:2016:6DC7GO25ZQWQB53OCCJRMCX7XV

not attested not anchored not stored refs pending

Generalized $\mathbf{W^{1,1}}$-Young measures and relaxation of problems with linear growth

Margarida Baia, Martin Kru\v{z}\'ik, Stefan Kr\"omer

arxiv:1611.04160 v1 · 2016-11-13 · 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{6DC7GO25ZQWQB53OCCJRMCX7XV}

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	2026-05-18T00:59:17.314511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c5f33b5dcc2d00f76e1093160affbd6e32345f10d1a638705f6b8d82e3bf74

Aliases

arxiv: 1611.04160 · arxiv_version: 1611.04160v1 · doi: 10.48550/arxiv.1611.04160 · pith_short_12: 6DC7GO25ZQWQ · pith_short_16: 6DC7GO25ZQWQB53O · pith_short_8: 6DC7GO25

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/6DC7GO25ZQWQB53OCCJRMCX7XV \
  | 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: f0c5f33b5dcc2d00f76e1093160affbd6e32345f10d1a638705f6b8d82e3bf74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e3ebe48c781b9e59c052213cb83f7d57fca6d15a76655f62285c1bd9444d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-13T17:31:03Z",
    "title_canon_sha256": "468a73fb25a05da83180f1651dfd16a369d717cd1e43b70f033779a56549142e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04160",
    "kind": "arxiv",
    "version": 1
  }
}