Pith Number

pith:PDDXOYO5

pith:2024:PDDXOYO5NEZZU6LBWRDXGRQV67

not attested not anchored not stored refs pending

Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups

Kenshiro Tashiro, Mattia Magnabosco, Samu\"el Borza, Tommaso Rossi

arxiv:2402.14779 v1 · 2024-02-22 · 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{PDDXOYO5NEZZU6LBWRDXGRQV67}

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

4 papers in Pith

On gradient estimates of the heat semigroups on step-two Carnot groups

Universal non-CD of sub-Riemannian manifolds

Busemann and MCP

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

Receipt and verification

First computed	2026-07-05T07:48:14.538641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c77761dd69339a7961b447734615f7eb7b9748cff4ddfc86f11edd65797b95

Aliases

arxiv: 2402.14779 · arxiv_version: 2402.14779v1 · doi: 10.48550/arxiv.2402.14779 · pith_short_12: PDDXOYO5NEZZ · pith_short_16: PDDXOYO5NEZZU6LB · pith_short_8: PDDXOYO5

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/PDDXOYO5NEZZU6LBWRDXGRQV67 \
  | 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: 78c77761dd69339a7961b447734615f7eb7b9748cff4ddfc86f11edd65797b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a11031108a5efdd686d7e272b47ee8fd1758ba81596d77dd6c82205d3c305b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-02-22T18:37:53Z",
    "title_canon_sha256": "d76c5f71122c4691328cb54ee11be0de27664941c60b374502f304ad4bd2d97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14779",
    "kind": "arxiv",
    "version": 1
  }
}