Pith Number

pith:NDE6QFP3

pith:2023:NDE6QFP3A3S2RS5FMXXZGDK46C

not attested not anchored not stored refs pending

Ergodic properties of Kantorovich operators

Malcolm Bowles, Nassif Ghoussoub

arxiv:2401.00322 v1 · 2023-12-30 · 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{NDE6QFP3A3S2RS5FMXXZGDK46C}

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

A General Aubry-Mather Theory

Receipt and verification

First computed	2026-07-05T07:29:16.545208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c9e815fb06e5a8cba565ef930d5cf09ac263523c59f8f3cfe78e724b9394e6

Aliases

arxiv: 2401.00322 · arxiv_version: 2401.00322v1 · doi: 10.48550/arxiv.2401.00322 · pith_short_12: NDE6QFP3A3S2 · pith_short_16: NDE6QFP3A3S2RS5F · pith_short_8: NDE6QFP3

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/NDE6QFP3A3S2RS5FMXXZGDK46C \
  | 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: 68c9e815fb06e5a8cba565ef930d5cf09ac263523c59f8f3cfe78e724b9394e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead313dc99dbe47acb1a4aa743b9ac669a2c444e607aa01ae7cb4ddfc3fc8d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-30T21:10:22Z",
    "title_canon_sha256": "0e57cc43b28ecff5411ee74248306527417b6cdd374630f814c4dc390a1bd750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.00322",
    "kind": "arxiv",
    "version": 1
  }
}