Pith Number

pith:6QW35SOX

pith:2011:6QW35SOXWNXRCHCNMPTX3UNUNG

not attested not anchored not stored refs pending

Geometry of diffeomorphism groups, complete integrability and optimal transport

Boris Khesin, Gerard Misiolek, Jonatan Lenells, Stephen C. Preston

arxiv:1105.0643 v1 · 2011-05-03 · math.DG · 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{6QW35SOXWNXRCHCNMPTX3UNUNG}

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	2026-05-18T04:23:10.961056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42dbec9d7b36f111c4d63e77dd1b469b4785d9e597229f2ffb7f3c294b6ce35

Aliases

arxiv: 1105.0643 · arxiv_version: 1105.0643v1 · doi: 10.48550/arxiv.1105.0643 · pith_short_12: 6QW35SOXWNXR · pith_short_16: 6QW35SOXWNXRCHCN · pith_short_8: 6QW35SOX

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/6QW35SOXWNXRCHCNMPTX3UNUNG \
  | 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: f42dbec9d7b36f111c4d63e77dd1b469b4785d9e597229f2ffb7f3c294b6ce35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778e439a796566487350107f0840ac755eb8501ac554b9e6c268ac3169cc88b4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-03T17:59:20Z",
    "title_canon_sha256": "c527a335a186a8957cdde9669a5564d5f853e2c690f4a7f2f3e2387fe435bae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0643",
    "kind": "arxiv",
    "version": 1
  }
}