Pith Number

pith:NWV4YT5P

pith:2012:NWV4YT5PXLFOTU2DVARNXRS5K7

not attested not anchored not stored refs pending

Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups

Giovanna Citti, Luca Capogna, Maria Manfredini

arxiv:1212.6665 v2 · 2012-12-29 · math.AP · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWV4YT5PXLFOTU2DVARNXRS5K7}

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	2026-05-18T03:18:06.228591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dabcc4fafbacae9d343a822dbc65d57cd86604f5b5a52af90be03878432ef22

Aliases

arxiv: 1212.6665 · arxiv_version: 1212.6665v2 · doi: 10.48550/arxiv.1212.6665 · pith_short_12: NWV4YT5PXLFO · pith_short_16: NWV4YT5PXLFOTU2D · pith_short_8: NWV4YT5P

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/NWV4YT5PXLFOTU2DVARNXRS5K7 \
  | 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: 6dabcc4fafbacae9d343a822dbc65d57cd86604f5b5a52af90be03878432ef22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58896a89a774e7c5ab562e3e09a895553af966354b3f1202391fcb9400b0a7c8",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-29T21:49:57Z",
    "title_canon_sha256": "0157670f8fd0e345f6646a052344835eba8bf3a003b4fd36e9509ef947ee5171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6665",
    "kind": "arxiv",
    "version": 2
  }
}