Pith Number

pith:O4DMSIKG

pith:2015:O4DMSIKGZ473QTGCUMDA7RUXGX

not attested not anchored not stored refs pending

Solutions to multi-marginal optimal transport problems concentrated on several graphs

Abbas Moameni, Brendan Pass

arxiv:1507.05923 v1 · 2015-07-21 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4DMSIKGZ473QTGCUMDA7RUXGX}

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	2026-05-18T01:36:32.131780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7706c92146cf3fb84cc2a3060fc69735cad166e17b9c74c223b54388832729eb

Aliases

arxiv: 1507.05923 · arxiv_version: 1507.05923v1 · doi: 10.48550/arxiv.1507.05923 · pith_short_12: O4DMSIKGZ473 · pith_short_16: O4DMSIKGZ473QTGC · pith_short_8: O4DMSIKG

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/O4DMSIKGZ473QTGCUMDA7RUXGX \
  | 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: 7706c92146cf3fb84cc2a3060fc69735cad166e17b9c74c223b54388832729eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d52bf3d1cd621b31dea2eeaf1f49caedbd74dce1f06832bc5994c8f0594119",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-21T17:45:03Z",
    "title_canon_sha256": "c93c144dac1b29f4c569651f2c7d6236eddb051ae49518d4848583df75569ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05923",
    "kind": "arxiv",
    "version": 1
  }
}