Pith Number

pith:TLAZHYMF

pith:2023:TLAZHYMF2DY2Y33WOY7VVNAQ56

not attested not anchored not stored refs pending

Failure of the curvature-dimension condition in sub-Finsler manifolds

Mattia Magnabosco, Tommaso Rossi

arxiv:2307.01820 v2 · 2023-07-04 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLAZHYMF2DY2Y33WOY7VVNAQ56}

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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

2 papers in Pith

Universal non-CD of sub-Riemannian manifolds

Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds

Receipt and verification

First computed	2026-07-05T07:05:45.871297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac193e185d0f1ac6f76763f5ab410efb4fcdb831d00de855ab647132150986b

Aliases

arxiv: 2307.01820 · arxiv_version: 2307.01820v2 · doi: 10.48550/arxiv.2307.01820 · pith_short_12: TLAZHYMF2DY2 · pith_short_16: TLAZHYMF2DY2Y33W · pith_short_8: TLAZHYMF

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/TLAZHYMF2DY2Y33WOY7VVNAQ56 \
  | 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: 9ac193e185d0f1ac6f76763f5ab410efb4fcdb831d00de855ab647132150986b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2422f31dc0944415bee29140cd1a0ed3146854f192a39bb13ce3bf257469e5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-07-04T16:49:49Z",
    "title_canon_sha256": "5cfb30b5c0a7ef6fd6e5ade4c452398de947f946ed6626928ddb791ff4892b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01820",
    "kind": "arxiv",
    "version": 2
  }
}