Pith Number

pith:4LYTW5R4

pith:2019:4LYTW5R4SKZN7H7GBAOUPDGNSU

not attested not anchored not stored refs pending

On a solution to the Monge transport problem on the real line arising from the strictly concave case

Nicolas Juillet (IRMA)

arxiv:1907.00681 v1 · 2019-07-01 · 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{4LYTW5R4SKZN7H7GBAOUPDGNSU}

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	2026-05-17T23:41:50.783873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f13b763c92b2df9fe6081d478ccd95259dda8256f03c765f0b516d5bae77fd

Aliases

arxiv: 1907.00681 · arxiv_version: 1907.00681v1 · doi: 10.48550/arxiv.1907.00681 · pith_short_12: 4LYTW5R4SKZN · pith_short_16: 4LYTW5R4SKZN7H7G · pith_short_8: 4LYTW5R4

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/4LYTW5R4SKZN7H7GBAOUPDGNSU \
  | 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: e2f13b763c92b2df9fe6081d478ccd95259dda8256f03c765f0b516d5bae77fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b556dd728047ae342a403c1f867c31541400071191e907fe398d68c08fa9519",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-01T12:09:08Z",
    "title_canon_sha256": "6599c6d6e9619e3058942aab9a32d39d7c3cac81833dbdd519119ed035bba765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00681",
    "kind": "arxiv",
    "version": 1
  }
}