Pith Number

pith:CBEBCWP6

pith:2013:CBEBCWP62QASE3FJM4HLMGPUFM

not attested not anchored not stored refs pending

Solutions to homogeneous Monge-Amp\`ere equations of homothetic functions and their applications to production models in economics

Bang-Yen Chen

arxiv:1307.0399 v2 · 2013-07-01 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBEBCWP62QASE3FJM4HLMGPUFM}

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	2026-05-18T03:18:07.740163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10481159fed401226ca9670eb619f42b33be0189e8393710d5e3beb8a0230e15

Aliases

arxiv: 1307.0399 · arxiv_version: 1307.0399v2 · doi: 10.48550/arxiv.1307.0399 · pith_short_12: CBEBCWP62QAS · pith_short_16: CBEBCWP62QASE3FJ · pith_short_8: CBEBCWP6

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/CBEBCWP62QASE3FJM4HLMGPUFM \
  | 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: 10481159fed401226ca9670eb619f42b33be0189e8393710d5e3beb8a0230e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f742351e9f9f1cf2e9777ff6f79d115df95c5e8cf5a92089a5ee8146d4aa44d6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-01T15:06:39Z",
    "title_canon_sha256": "427790f9d18c7f61b25fac63088bf76002b768649848607974f17f8285e207e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0399",
    "kind": "arxiv",
    "version": 2
  }
}