Pith Number

pith:TTKXK7OB

pith:2026:TTKXK7OBO5A5YYYPJLWXJVTBOM

not attested not anchored not stored refs pending

Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\kappa,\infty)$ manifolds

Dan Mikulincer, William Dudarov

arxiv:2606.11085 v1 · 2026-06-09 · math.PR · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTKXK7OBO5A5YYYPJLWXJVTBOM}

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	2026-06-10T01:11:09.264201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd5757dc17741dc630f4aed74d661732c435d2fadb0a50e9e3aba82a8436920

Aliases

arxiv: 2606.11085 · arxiv_version: 2606.11085v1 · doi: 10.48550/arxiv.2606.11085 · pith_short_12: TTKXK7OBO5A5 · pith_short_16: TTKXK7OBO5A5YYYP · pith_short_8: TTKXK7OB

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/TTKXK7OBO5A5YYYPJLWXJVTBOM \
  | 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: 9cd5757dc17741dc630f4aed74d661732c435d2fadb0a50e9e3aba82a8436920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51ec0f6059a794c6bea6f8dd8b7600ca487ab77c5dbbf66191575ae095bb916",
    "cross_cats_sorted": [
      "math.MG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T16:44:48Z",
    "title_canon_sha256": "e960d3dba03ad1b80bb16ed52a511445ecdab9a931caf55369d97131ee38f6b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11085",
    "kind": "arxiv",
    "version": 1
  }
}