Pith Number

pith:LAIGUOBG

pith:2019:LAIGUOBGSZ7CIOPS25ZGPRHZHD

not attested not anchored not stored refs pending

Transport Proofs Of Some Discrete Variants Of The Pr{\'e}Kopa-leindler Inequality

Cyril Roberto (LAMA), Nathael Gozlan (MAP5 - UMR 8145), Paul-Marie Samson (LAMA), Prasad Tetali (School of Mathematics)

arxiv:1905.04038 v1 · 2019-05-10 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAIGUOBGSZ7CIOPS25ZGPRHZHD}

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	2026-05-17T23:46:34.763494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58106a3826967e2439f2d77267c4f938c4a2960d99fdf38ee7c76452ec7bd5b3

Aliases

arxiv: 1905.04038 · arxiv_version: 1905.04038v1 · doi: 10.48550/arxiv.1905.04038 · pith_short_12: LAIGUOBGSZ7C · pith_short_16: LAIGUOBGSZ7CIOPS · pith_short_8: LAIGUOBG

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/LAIGUOBGSZ7CIOPS25ZGPRHZHD \
  | 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: 58106a3826967e2439f2d77267c4f938c4a2960d99fdf38ee7c76452ec7bd5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fb21c258ef230cafcb6fbff7b402a28e451b16ad5a8c4b3f41432134c58fda",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-10T09:49:06Z",
    "title_canon_sha256": "d7756a366390e482dfae3d5672029d5b58c8d420ca2a569306d80601791779d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04038",
    "kind": "arxiv",
    "version": 1
  }
}