Pith Number

pith:NVGDOT2K

pith:2017:NVGDOT2KVANHVNADMQV5PECMDK

not attested not anchored not stored refs pending

Harnack's inequality for a class of non-divergent equations in the Heisenberg group

Cristian E. Guti\'errez, Farhan Abedin, Giulio Tralli

arxiv:1705.10856 v1 · 2017-05-30 · 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{NVGDOT2KVANHVNADMQV5PECMDK}

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	2026-05-18T00:43:20.052803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4c374f4aa81a7ab403642bd7904c1ab76776b41596cbd3812b86967497f983

Aliases

arxiv: 1705.10856 · arxiv_version: 1705.10856v1 · doi: 10.48550/arxiv.1705.10856 · pith_short_12: NVGDOT2KVANH · pith_short_16: NVGDOT2KVANHVNAD · pith_short_8: NVGDOT2K

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/NVGDOT2KVANHVNADMQV5PECMDK \
  | 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: 6d4c374f4aa81a7ab403642bd7904c1ab76776b41596cbd3812b86967497f983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd5eae899c1b864bc673286cbd72a4035479219f41c14f9559cd1459c4ae846e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-30T20:29:34Z",
    "title_canon_sha256": "c68533f68ed9f22869cb4486fc6a4568d18cf18876272871262820a5d0e338fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10856",
    "kind": "arxiv",
    "version": 1
  }
}