Pith Number

pith:SXCZV3WX

pith:2012:SXCZV3WXARIUVF5EAHUQIKEO4U

not attested not anchored not stored refs pending

Sub-Riemannian heat kernels and mean curvature flow of graphs

Cosimo Senni Guidotti Magnani, Giovanna Citti, Luca Capogna

arxiv:1208.6211 v2 · 2012-08-30 · math.AP · 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{SXCZV3WXARIUVF5EAHUQIKEO4U}

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	2026-05-18T03:36:04.292628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c59aeed704514a97a401e904288ee5128bb61b8e4058358306c1a37a7c9a14

Aliases

arxiv: 1208.6211 · arxiv_version: 1208.6211v2 · doi: 10.48550/arxiv.1208.6211 · pith_short_12: SXCZV3WXARIU · pith_short_16: SXCZV3WXARIUVF5E · pith_short_8: SXCZV3WX

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/SXCZV3WXARIUVF5EAHUQIKEO4U \
  | 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: 95c59aeed704514a97a401e904288ee5128bb61b8e4058358306c1a37a7c9a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f988971514b34dc931d9df5bea2901ca35a26a56334bb51f2d7fc3ccc233ff",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-30T15:39:29Z",
    "title_canon_sha256": "08cfcc1a5bae08ef9bbcf364b851364e62a108b5f03ee8bf0787c964fc822452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6211",
    "kind": "arxiv",
    "version": 2
  }
}