Pith Number

pith:BWI6YCNY

pith:2015:BWI6YCNY4KRVYMRCHFO4BQSHBO

not attested not anchored not stored refs pending

BV Estimates in Optimal Transportation and Applications

Alp\'ar M\'esz\'aros (LM-Orsay), Bozhidar Velichkov (LJK), Filippo Santambrogio (LM-Orsay), Guido De Philippis (UMPA-ENSL)

arxiv:1503.06389 v2 · 2015-03-22 · math.OC · 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{BWI6YCNY4KRVYMRCHFO4BQSHBO}

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	2026-05-18T01:31:40.093820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d91ec09b8e2a35c3222395dc0c2470b8a9736218fadf868a4892212586eb22e

Aliases

arxiv: 1503.06389 · arxiv_version: 1503.06389v2 · doi: 10.48550/arxiv.1503.06389 · pith_short_12: BWI6YCNY4KRV · pith_short_16: BWI6YCNY4KRVYMRC · pith_short_8: BWI6YCNY

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/BWI6YCNY4KRVYMRCHFO4BQSHBO \
  | 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: 0d91ec09b8e2a35c3222395dc0c2470b8a9736218fadf868a4892212586eb22e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387eb58cc076efa6f583fe5dd0e8c63ff833d7fd8e2333ee7b5c990b2bfc7a04",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-22T06:13:10Z",
    "title_canon_sha256": "3d540e2b7991f1831c510d5505778cc446ea8e91bda2cf5c64851a81ef98df51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06389",
    "kind": "arxiv",
    "version": 2
  }
}