Pith Number

pith:5QK2DR2Z

pith:2016:5QK2DR2ZYXZ6OSFKEYXZGLJ2LI

not attested not anchored not stored refs pending

A fast algorithm for Earth Mover's Distance based on optimal transport and L1 type Regularization

Stanley Osher, Wilfrid Gangbo, Wuchen Li

arxiv:1609.07092 v3 · 2016-09-22 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QK2DR2ZYXZ6OSFKEYXZGLJ2LI}

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	2026-05-18T00:54:59.926352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec15a1c759c5f3e748aa262f932d3a5a3b075d4e67ebf4285d505a33f353d7fd

Aliases

arxiv: 1609.07092 · arxiv_version: 1609.07092v3 · doi: 10.48550/arxiv.1609.07092 · pith_short_12: 5QK2DR2ZYXZ6 · pith_short_16: 5QK2DR2ZYXZ6OSFK · pith_short_8: 5QK2DR2Z

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/5QK2DR2ZYXZ6OSFKEYXZGLJ2LI \
  | 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: ec15a1c759c5f3e748aa262f932d3a5a3b075d4e67ebf4285d505a33f353d7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64affecb55daba273cb373db59ad4ff56d1dbae99b901f07577b232d0883dbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-22T18:06:33Z",
    "title_canon_sha256": "c6d37ea803f4005a588655ad58b2482098ef45a1e6fffb0341d68a359116d6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07092",
    "kind": "arxiv",
    "version": 3
  }
}