Pith Number

pith:5GICA6PO

pith:2015:5GICA6POKFXUUGWTMMF5VSBF3X

not attested not anchored not stored refs pending

Stochastic homogenization of nonconvex unbounded integral functionals with convex growth

Antoine Gloria, Mitia Duerinckx

arxiv:1507.05000 v1 · 2015-07-17 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GICA6POKFXUUGWTMMF5VSBF3X}

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	2026-05-18T01:16:49.813750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9902079ee516f4a1ad3630bdac825ddc1a69cbd7c62bb9a25f80f13176b88b5

Aliases

arxiv: 1507.05000 · arxiv_version: 1507.05000v1 · doi: 10.48550/arxiv.1507.05000 · pith_short_12: 5GICA6POKFXU · pith_short_16: 5GICA6POKFXUUGWT · pith_short_8: 5GICA6PO

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/5GICA6POKFXUUGWTMMF5VSBF3X \
  | 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: e9902079ee516f4a1ad3630bdac825ddc1a69cbd7c62bb9a25f80f13176b88b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e7dacfcd5314942f46a6f6373d8cc1fb2020ce39357d83b9b438be2cd08d53",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-17T15:28:50Z",
    "title_canon_sha256": "b21fbf437d2eaca548a7aa7e9364dcaddc80173479d0d9b7735cf1439226c75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05000",
    "kind": "arxiv",
    "version": 1
  }
}