Pith Number

pith:LUV6YTPU

pith:2016:LUV6YTPU4X6ZQLDTKNPCTPTBIR

not attested not anchored not stored refs pending

Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces

Isidro H. Munive, Nicola Garofalo

arxiv:1603.02988 v1 · 2016-03-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUV6YTPU4X6ZQLDTKNPCTPTBIR}

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	2026-05-18T01:19:19.408253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2bec4df4e5fd982c73535e29be6144795e0dec61eb80483858eefa27146630

Aliases

arxiv: 1603.02988 · arxiv_version: 1603.02988v1 · doi: 10.48550/arxiv.1603.02988 · pith_short_12: LUV6YTPU4X6Z · pith_short_16: LUV6YTPU4X6ZQLDT · pith_short_8: LUV6YTPU

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/LUV6YTPU4X6ZQLDTKNPCTPTBIR \
  | 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: 5d2bec4df4e5fd982c73535e29be6144795e0dec61eb80483858eefa27146630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfdb8465765eff575f0ac5551a65d2c84a7bf6472e84daf32bdf198248fc31a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-09T18:20:13Z",
    "title_canon_sha256": "25af15b1ef06dcc2a45bbf0cc7b4e9c91231f21622061d6bf06d05c2314d004a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02988",
    "kind": "arxiv",
    "version": 1
  }
}