Pith Number

pith:K2MUJCTP

pith:2016:K2MUJCTPIVGI6FYS2ANEVXN7G7

not attested not anchored not stored refs pending

Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces

Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1604.05173 v3 · 2016-04-18 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2MUJCTPIVGI6FYS2ANEVXN7G7}

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	2026-05-18T01:15:22.351814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5699448a6f454c8f1712d01a4addbf37cf53822bfa80924c2713ffc6ce133ba6

Aliases

arxiv: 1604.05173 · arxiv_version: 1604.05173v3 · doi: 10.48550/arxiv.1604.05173 · pith_short_12: K2MUJCTPIVGI · pith_short_16: K2MUJCTPIVGI6FYS · pith_short_8: K2MUJCTP

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/K2MUJCTPIVGI6FYS2ANEVXN7G7 \
  | 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: 5699448a6f454c8f1712d01a4addbf37cf53822bfa80924c2713ffc6ce133ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2201d7980d670bd2b571641b2cbc4aa91995886940a05f26c1eec22faee192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-18T14:19:55Z",
    "title_canon_sha256": "21eaf8af702ba22e33a1e47cddc7f6e9a1b0ccf0be26f70889c7619d98f55b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05173",
    "kind": "arxiv",
    "version": 3
  }
}