Pith Number

pith:J5JHAFSM

pith:2011:J5JHAFSMSGKXDPQJPHULOIFSGL

not attested not anchored not stored refs pending

A Subelliptic Analogue of Aronson-Serrin's Harnack Inequality

Garrett Rea, Giovanna Citti, Luca Capogna

arxiv:1109.4596 v2 · 2011-09-21 · 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{J5JHAFSMSGKXDPQJPHULOIFSGL}

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	2026-05-18T03:37:41.694214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5270164c919571be0979e8b720b232d870d3a9f77ef0f14951f7e4c636373c

Aliases

arxiv: 1109.4596 · arxiv_version: 1109.4596v2 · doi: 10.48550/arxiv.1109.4596 · pith_short_12: J5JHAFSMSGKX · pith_short_16: J5JHAFSMSGKXDPQJ · pith_short_8: J5JHAFSM

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/J5JHAFSMSGKXDPQJPHULOIFSGL \
  | 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: 4f5270164c919571be0979e8b720b232d870d3a9f77ef0f14951f7e4c636373c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e8fe29c3133de4bd681bd1aa8d7ac6e12bfc6de1714ff2e82cdad1c810836c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-21T17:38:27Z",
    "title_canon_sha256": "7c6599def24560318356f874e64abe9da4c2fa584b6dfba532a3bcab028ecd49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4596",
    "kind": "arxiv",
    "version": 2
  }
}