Pith Number

pith:OOPOBTPU

pith:2023:OOPOBTPU4D577MUYQCJX24UQJD

not attested not anchored not stored refs pending

On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs

Alexander Cloninger, Dhruv Kohli, Gal Mishne, Sawyer Robertson

arxiv:2312.10295 v3 · 2023-12-16 · math.OC · cs.DM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOPOBTPU4D577MUYQCJX24UQJD}

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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

Resistance Distance and Linearized Optimal Transport on Graphs

Receipt and verification

First computed	2026-07-05T10:31:40.673512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739ee0cdf4e0fbffb29880937d729048c2b8305b73c8e99bba9f983d8fb309fc

Aliases

arxiv: 2312.10295 · arxiv_version: 2312.10295v3 · doi: 10.48550/arxiv.2312.10295 · pith_short_12: OOPOBTPU4D57 · pith_short_16: OOPOBTPU4D577MUY · pith_short_8: OOPOBTPU

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/OOPOBTPU4D577MUYQCJX24UQJD \
  | 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: 739ee0cdf4e0fbffb29880937d729048c2b8305b73c8e99bba9f983d8fb309fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5f70a1670263aa4bc4bb8e8943bf4c6de07137df44289566a9e5f174668d46",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-12-16T02:41:19Z",
    "title_canon_sha256": "449adc1e652723d68f8a44811356f4194d52f8f16ebdeed844a307d141ecb231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10295",
    "kind": "arxiv",
    "version": 3
  }
}