Pith Number

pith:ZXAGSHIE

pith:2010:ZXAGSHIEEEJPIXYZJLVJJ7U7KI

not attested not anchored not stored refs pending

Optimal transport from Lebesgue to Poisson

Karl-Theodor Sturm, Martin Huesmann

arxiv:1012.3845 v2 · 2010-12-17 · 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{ZXAGSHIEEEJPIXYZJLVJJ7U7KI}

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	2026-05-18T03:16:06.676698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc0691d042112f45f194aea94fe9f52371fb5aa40e989b094d57ae4c37c1549

Aliases

arxiv: 1012.3845 · arxiv_version: 1012.3845v2 · doi: 10.48550/arxiv.1012.3845 · pith_short_12: ZXAGSHIEEEJP · pith_short_16: ZXAGSHIEEEJPIXYZ · pith_short_8: ZXAGSHIE

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/ZXAGSHIEEEJPIXYZJLVJJ7U7KI \
  | 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: cdc0691d042112f45f194aea94fe9f52371fb5aa40e989b094d57ae4c37c1549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a97259d116835f877aeac6dcf32d67f90fcf93a5f8cd56876c699b04f32cf5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-17T10:26:55Z",
    "title_canon_sha256": "fa55c330b7fff4c3ad2991294e99144595de8f9e21da996abdf15da74e2037bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3845",
    "kind": "arxiv",
    "version": 2
  }
}