Pith Number

pith:I22ZWK6X

pith:2013:I22ZWK6XLRBMTNHBKLGKNWTITH

not attested not anchored not stored refs pending

Homogenization of unbounded integrals with quasiconvex growth

Hamdi Zorgati, Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1307.1852 v2 · 2013-07-07 · 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{I22ZWK6XLRBMTNHBKLGKNWTITH}

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	2026-05-18T03:17:24.125492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b59b2bd75c42c9b4e152cca6da6899ed3b14234255f3e33e5269c9b776ee3a

Aliases

arxiv: 1307.1852 · arxiv_version: 1307.1852v2 · doi: 10.48550/arxiv.1307.1852 · pith_short_12: I22ZWK6XLRBM · pith_short_16: I22ZWK6XLRBMTNHB · pith_short_8: I22ZWK6X

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/I22ZWK6XLRBMTNHBKLGKNWTITH \
  | 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: 46b59b2bd75c42c9b4e152cca6da6899ed3b14234255f3e33e5269c9b776ee3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e027a547054137aed6a65c8e6c834b766453fde68e47744f30ca20d51699965a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-07T11:07:05Z",
    "title_canon_sha256": "621d2d91df342b845ea5a23b65fc996edb7f2588a5c37ca0ae89ef896cc6411b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1852",
    "kind": "arxiv",
    "version": 2
  }
}