Pith Number

pith:MRGZW2FX

pith:2020:MRGZW2FXTKY3HY73XBB3LEVXLO

not attested not anchored not stored refs pending

Multi-marginal optimal transport and probabilistic graphical models

Isabel Haasler, Johan Karlsson, Qinsheng Zhang, Rahul Singh, Yongxin Chen

arxiv:2006.14113 v1 · 2020-06-25 · math.OC · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRGZW2FXTKY3HY73XBB3LEVXLO}

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	2026-07-05T01:13:29.190202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644d9b68b79ab1b3e3fbb843b592b75ba404c802b31e1330386e7f8d06235760

Aliases

arxiv: 2006.14113 · arxiv_version: 2006.14113v1 · doi: 10.48550/arxiv.2006.14113 · pith_short_12: MRGZW2FXTKY3 · pith_short_16: MRGZW2FXTKY3HY73 · pith_short_8: MRGZW2FX

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/MRGZW2FXTKY3HY73XBB3LEVXLO \
  | 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: 644d9b68b79ab1b3e3fbb843b592b75ba404c802b31e1330386e7f8d06235760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8a71d531e3ab35dc71692f27ea6835f5ba18adac7f957cc34136a92cf36834",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-06-25T00:35:41Z",
    "title_canon_sha256": "3b173018d5570f13f3498f7c03b4bd6e40f29fcda588db3b4daff7b84dd8b886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14113",
    "kind": "arxiv",
    "version": 1
  }
}