Pith Number

pith:K4OEPUA4

pith:2011:K4OEPUA4CHPNJ7JKMT4FKME444

not attested not anchored not stored refs pending

Homogenization of nonconvex integrals with convex growth

Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1101.0830 v1 · 2011-01-04 · math.CA · 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{K4OEPUA4CHPNJ7JKMT4FKME444}

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	2026-05-18T04:32:01.360461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571c47d01c11ded4fd2a64f855309ce72cfd756443e7b7aa82fe12b7e94577c8

Aliases

arxiv: 1101.0830 · arxiv_version: 1101.0830v1 · doi: 10.48550/arxiv.1101.0830 · pith_short_12: K4OEPUA4CHPN · pith_short_16: K4OEPUA4CHPNJ7JK · pith_short_8: K4OEPUA4

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/K4OEPUA4CHPNJ7JKMT4FKME444 \
  | 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: 571c47d01c11ded4fd2a64f855309ce72cfd756443e7b7aa82fe12b7e94577c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b30c001cfaaef3cf598096932fb1fdab1b370a8dbd7216a22540e84487a2ae",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-04T21:42:18Z",
    "title_canon_sha256": "8512b0cfce4186ca7b87270dd2b6eda400b19c580ebebc76eae6f94ed234518c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0830",
    "kind": "arxiv",
    "version": 1
  }
}