Pith Number

pith:3LDICW5R

pith:2018:3LDICW5RERMUVAPVZTHJNFYPKR

not attested not anchored not stored refs pending

An overview of L1 Optimal Transportation on metric measure spaces

Fabio Cavalletti

arxiv:1809.04859 v1 · 2018-09-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LDICW5RERMUVAPVZTHJNFYPKR}

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	2026-05-18T00:05:47.281206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac6815bb124594a81f5ccce96970f544ee95a7b24cf915ae0f48a3ab628ab9d

Aliases

arxiv: 1809.04859 · arxiv_version: 1809.04859v1 · doi: 10.48550/arxiv.1809.04859 · pith_short_12: 3LDICW5RERMU · pith_short_16: 3LDICW5RERMUVAPV · pith_short_8: 3LDICW5R

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/3LDICW5RERMUVAPVZTHJNFYPKR \
  | 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: dac6815bb124594a81f5ccce96970f544ee95a7b24cf915ae0f48a3ab628ab9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224964ec36605d1764069d4b0837541ad843929a2cd7473e48eb288736106ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-13T09:44:29Z",
    "title_canon_sha256": "af5d2dca9ef95ef19e18c7fc6c9b9b33d81a0c20d8536ba1e752d3928f73ec76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04859",
    "kind": "arxiv",
    "version": 1
  }
}