Pith Number

pith:Z42RKBV7

pith:2013:Z42RKBV7SS43CNQQKKOSIYMDRY

not attested not anchored not stored refs pending

The obstacle problem for subelliptic non-divergence form operators on homogeneous groups

Heather Griffin, Marie Frentz

arxiv:1307.4364 v1 · 2013-07-16 · 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{Z42RKBV7SS43CNQQKKOSIYMDRY}

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	2026-05-18T03:18:19.035989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf351506bf94b9b13610529d2461838e19bad067756615b82f2891141be028e0

Aliases

arxiv: 1307.4364 · arxiv_version: 1307.4364v1 · doi: 10.48550/arxiv.1307.4364 · pith_short_12: Z42RKBV7SS43 · pith_short_16: Z42RKBV7SS43CNQQ · pith_short_8: Z42RKBV7

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/Z42RKBV7SS43CNQQKKOSIYMDRY \
  | 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: cf351506bf94b9b13610529d2461838e19bad067756615b82f2891141be028e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61304e1d568b5a678dbb098634c840780a04a736aa4dc7356402cd5413e91e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-16T18:21:02Z",
    "title_canon_sha256": "5b61861237e780d3f7a987fb57253afe272ec454f59d7c02d55eb3098618718c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4364",
    "kind": "arxiv",
    "version": 1
  }
}