Pith Number

pith:6MIIPY3D

pith:2019:6MIIPY3DEOPEA24PX6O2M5WFKA

not attested not anchored not stored refs pending

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Arka Mallick, Hoai-Minh Nguyen

arxiv:1908.06179 v1 · 2019-08-16 · math.FA · 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{6MIIPY3DEOPEA24PX6O2M5WFKA}

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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	2026-07-04T23:58:13.330031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f31087e363239e406b8fbf9da676c5500f5be822e6ae1df16d8da05bab42cbd9

Aliases

arxiv: 1908.06179 · arxiv_version: 1908.06179v1 · doi: 10.48550/arxiv.1908.06179 · pith_short_12: 6MIIPY3DEOPE · pith_short_16: 6MIIPY3DEOPEA24P · pith_short_8: 6MIIPY3D

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/6MIIPY3DEOPEA24PX6O2M5WFKA \
  | 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: f31087e363239e406b8fbf9da676c5500f5be822e6ae1df16d8da05bab42cbd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f3b1282def5766a2a2dac4e9723eafaa9332e23bb28de5d7ff09560b93a2dd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-16T21:16:59Z",
    "title_canon_sha256": "7511b248105be7ef372def5db73d918cfb561a36e0439ee7293509befc827336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06179",
    "kind": "arxiv",
    "version": 1
  }
}