Pith Number

pith:YREIZDNP

pith:2017:YREIZDNPAO5GNUALBG3PFFDEOE

not attested not anchored not stored refs pending

Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions

Guozhen Lu, Jungang Li, Maochun Zhu

arxiv:1703.01005 v1 · 2017-03-03 · 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{YREIZDNPAO5GNUALBG3PFFDEOE}

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	2026-05-18T00:49:37.255787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4488c8daf03ba66d00b09b6f294647104c6e7db5573be5f758b12d223dc073a

Aliases

arxiv: 1703.01005 · arxiv_version: 1703.01005v1 · doi: 10.48550/arxiv.1703.01005 · pith_short_12: YREIZDNPAO5G · pith_short_16: YREIZDNPAO5GNUAL · pith_short_8: YREIZDNP

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/YREIZDNPAO5GNUALBG3PFFDEOE \
  | 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: c4488c8daf03ba66d00b09b6f294647104c6e7db5573be5f758b12d223dc073a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7baf6360438b7917fa573bf1b1b66aa1f792f11c5c6365b7de27807cacfa50df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-03T00:59:32Z",
    "title_canon_sha256": "e254699d626831751a27808f7707243e57a964dda2adafd1b51ae8516535e62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01005",
    "kind": "arxiv",
    "version": 1
  }
}