Pith Number

pith:DLFCZ4X7

pith:2022:DLFCZ4X745QVIYWLQ2AJOGFUIW

not attested not anchored not stored refs pending

On the Uniqueness of Kantorovich Potentials

Axel Munk, Shayan Hundrieser, Thomas Staudt

arxiv:2201.08316 v2 · 2022-01-20 · math.OC · 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{DLFCZ4X745QVIYWLQ2AJOGFUIW}

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.

Cited by

1 paper in Pith

Data-driven approaches to inverse problems

Receipt and verification

First computed	2026-07-05T09:47:24.681499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aca2cf2ffe7615462cb86809718b44587c12ad0db6ac627fd30f3f7a9aa548a

Aliases

arxiv: 2201.08316 · arxiv_version: 2201.08316v2 · doi: 10.48550/arxiv.2201.08316 · pith_short_12: DLFCZ4X745QV · pith_short_16: DLFCZ4X745QVIYWL · pith_short_8: DLFCZ4X7

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/DLFCZ4X745QVIYWLQ2AJOGFUIW \
  | 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: 1aca2cf2ffe7615462cb86809718b44587c12ad0db6ac627fd30f3f7a9aa548a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ff7ebf7e9eb1fb004fdc061739ba55719b11f340761262482d476482277b53",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-01-20T17:27:57Z",
    "title_canon_sha256": "44e4cbde0a33053bb62f37a95510cfa44fae47c9b37a61504518cadfd015f7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.08316",
    "kind": "arxiv",
    "version": 2
  }
}