Pith Number

pith:RGOKN3Q6

pith:2013:RGOKN3Q6CTKY23LKXUNWNS2IWW

not attested not anchored not stored refs pending

Optimal Transport and Skorokhod Embedding

Alexander M. G. Cox, Martin Huesmann, Mathias Beiglboeck

arxiv:1307.3656 v4 · 2013-07-13 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGOKN3Q6CTKY23LKXUNWNS2IWW}

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	2026-05-18T01:14:59.096365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

899ca6ee1e14d58d6d6abd1b66cb48b58c4cebf575768c737a5d9baed844941c

Aliases

arxiv: 1307.3656 · arxiv_version: 1307.3656v4 · doi: 10.48550/arxiv.1307.3656 · pith_short_12: RGOKN3Q6CTKY · pith_short_16: RGOKN3Q6CTKY23LK · pith_short_8: RGOKN3Q6

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/RGOKN3Q6CTKY23LKXUNWNS2IWW \
  | 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: 899ca6ee1e14d58d6d6abd1b66cb48b58c4cebf575768c737a5d9baed844941c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0546fb34ae600403cd9f62341018398df5203904b3e642eb157ef909f71054cc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-13T15:20:25Z",
    "title_canon_sha256": "26dd981adc46d2d9695a95d2494fc7d51c2c2aafff9738041b9a37003a61f632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3656",
    "kind": "arxiv",
    "version": 4
  }
}