Pith Number

pith:KIS22M25

pith:2017:KIS22M25KIW3OMPG4KGJXLUNY4

not attested not anchored not stored refs pending

Coefficient groups inducing nonbranched optimal transport

Mircea Petrache, Roger Z\"ust

arxiv:1707.03485 v1 · 2017-07-11 · math.MG · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIS22M25KIW3OMPG4KGJXLUNY4}

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	2026-05-18T00:40:25.887073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5225ad335d522db731e6e28c9bae8dc71314f7b7882a06f650754c719ccf10d1

Aliases

arxiv: 1707.03485 · arxiv_version: 1707.03485v1 · doi: 10.48550/arxiv.1707.03485 · pith_short_12: KIS22M25KIW3 · pith_short_16: KIS22M25KIW3OMPG · pith_short_8: KIS22M25

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/KIS22M25KIW3OMPG4KGJXLUNY4 \
  | 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: 5225ad335d522db731e6e28c9bae8dc71314f7b7882a06f650754c719ccf10d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7aa6c066d8d2f610e75f126cc5e956d6a30284c87841b794d6d670bdff19cc2",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-11T22:49:17Z",
    "title_canon_sha256": "f7182eb5ea2bdc63479405121504b10661853d7eea08d7736390e709dc31aede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03485",
    "kind": "arxiv",
    "version": 1
  }
}