Pith Number

pith:6KIJYYZU

pith:2013:6KIJYYZU5MIUAARSYN4GCM7FQ3

not attested not anchored not stored refs pending

A remark on the optimal transport between two probability measures sharing the same copula

Aur\'elien Alfonsi (CERMICS, Benjamin Jourdain (CERMICS, Inria Paris-Rocquencourt)

arxiv:1307.4249 v1 · 2013-07-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KIJYYZU5MIUAARSYN4GCM7FQ3}

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	2026-05-18T03:18:19.314263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2909c6334eb11400232c3786133e586fa44667568c1b4082a48f6430d9970e5

Aliases

arxiv: 1307.4249 · arxiv_version: 1307.4249v1 · doi: 10.48550/arxiv.1307.4249 · pith_short_12: 6KIJYYZU5MIU · pith_short_16: 6KIJYYZU5MIUAARS · pith_short_8: 6KIJYYZU

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/6KIJYYZU5MIUAARSYN4GCM7FQ3 \
  | 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: f2909c6334eb11400232c3786133e586fa44667568c1b4082a48f6430d9970e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da0e20f31ee71274691d1e51cc69ec6b1531062361e7a30a3ff07a610dd9992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T11:47:57Z",
    "title_canon_sha256": "e47f5dfa40e996891523f94f1bc98dce6e279f29f80627812578c9d9f287ab2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4249",
    "kind": "arxiv",
    "version": 1
  }
}