Pith Number

pith:LE2744I3

pith:2018:LE2744I3Y5RFNW7BXAGOTA54BY

not attested not anchored not stored refs pending

Mass transportation functionals on the sphere with applications to the logarithmic Minkowski problem

Alexander V. Kolesnikov

arxiv:1807.07002 v2 · 2018-07-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE2744I3Y5RFNW7BXAGOTA54BY}

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	2026-05-18T00:07:23.277803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5935fe711bc76256dbe1b80ce983bc0e19d9dff6efa3f5c48bd7022c85d2d24c

Aliases

arxiv: 1807.07002 · arxiv_version: 1807.07002v2 · doi: 10.48550/arxiv.1807.07002 · pith_short_12: LE2744I3Y5RF · pith_short_16: LE2744I3Y5RFNW7B · pith_short_8: LE2744I3

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/LE2744I3Y5RFNW7BXAGOTA54BY \
  | 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: 5935fe711bc76256dbe1b80ce983bc0e19d9dff6efa3f5c48bd7022c85d2d24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7f4155f0dc354b8850d0c7f7083c5bad08cac95b384cabddbb15bac7436a5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-18T15:42:37Z",
    "title_canon_sha256": "576855a6d0942a4332ae57904e6e5112cc39d2d7fcd9eaba67f4c1f9be925c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07002",
    "kind": "arxiv",
    "version": 2
  }
}