Pith Number

pith:FMT5JHT5

pith:2010:FMT5JHT5SKFDENXMGBU7SAG3PX

not attested not anchored not stored refs pending

Introduction to Optimal Transport Theory

Filippo Santambrogio (CEREMADE)

arxiv:1009.3856 v1 · 2010-09-20 · math.CA · math.AP · math.DG · 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{FMT5JHT5SKFDENXMGBU7SAG3PX}

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.

Cited by

1 paper in Pith

Multiscaling in Wasserstein Spaces

Receipt and verification

First computed	2026-05-18T04:40:43.693235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b27d49e7d928a3236ec3069f900db7dd71ce083e6253bdf8e3fcc37eb3940e2

Aliases

arxiv: 1009.3856 · arxiv_version: 1009.3856v1 · doi: 10.48550/arxiv.1009.3856 · pith_short_12: FMT5JHT5SKFD · pith_short_16: FMT5JHT5SKFDENXM · pith_short_8: FMT5JHT5

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/FMT5JHT5SKFDENXMGBU7SAG3PX \
  | 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: 2b27d49e7d928a3236ec3069f900db7dd71ce083e6253bdf8e3fcc37eb3940e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d8a9d656204873b8c026010a5a424ebd8c0230ff195826a3e0aaa5273b1e31",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-20T15:42:43Z",
    "title_canon_sha256": "11b94c939c4c8a9cc622e84950f4d248255d4f69656d45dd46727aa87cb78bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3856",
    "kind": "arxiv",
    "version": 1
  }
}