Pith Number

pith:HZIKI6IJ

pith:2012:HZIKI6IJ3QZUXXDXJDTWCZTQSG

not attested not anchored not stored refs pending

Positivity and Transportation

Marco Cuturi

arxiv:1209.2655 v1 · 2012-09-12 · stat.ML · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZIKI6IJ3QZUXXDXJDTWCZTQSG}

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	2026-05-18T03:45:42.480062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e50a47909dc334bdc7748e76166709184e0f696b7d1e7fca2889e9895ae2033

Aliases

arxiv: 1209.2655 · arxiv_version: 1209.2655v1 · doi: 10.48550/arxiv.1209.2655 · pith_short_12: HZIKI6IJ3QZU · pith_short_16: HZIKI6IJ3QZUXXDX · pith_short_8: HZIKI6IJ

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/HZIKI6IJ3QZUXXDXJDTWCZTQSG \
  | 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: 3e50a47909dc334bdc7748e76166709184e0f696b7d1e7fca2889e9895ae2033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ffb0c98ab69ab8a606422ac145532887515d2f6836d8a981262e31aa52976f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2012-09-12T16:33:08Z",
    "title_canon_sha256": "7ce41ced618824d3e050ab5fdc3a3973a9fc5a71116435633aad7e322b5cee95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2655",
    "kind": "arxiv",
    "version": 1
  }
}