Pith Number

pith:5SU45ZJA

pith:2015:5SU45ZJAVZPHMOMU75JUNBVB34

not attested not anchored not stored refs pending

A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points

Ali Maalaoui, Luca Martinazzi, Stefano Iula

arxiv:1504.04862 v2 · 2015-04-19 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SU45ZJAVZPHMOMU75JUNBVB34}

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	2026-05-18T01:07:57.093936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca9cee520ae5e763994ff534686a1df3bde94d58f9ad3c90fb195c0cc502c3f

Aliases

arxiv: 1504.04862 · arxiv_version: 1504.04862v2 · doi: 10.48550/arxiv.1504.04862 · pith_short_12: 5SU45ZJAVZPH · pith_short_16: 5SU45ZJAVZPHMOMU · pith_short_8: 5SU45ZJA

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/5SU45ZJAVZPHMOMU75JUNBVB34 \
  | 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: eca9cee520ae5e763994ff534686a1df3bde94d58f9ad3c90fb195c0cc502c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2144babca48d0c38c915b2fe4f0bee8c81b06d2f29ab8f0bc1e73c903cb0496d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-19T17:36:24Z",
    "title_canon_sha256": "47ebd3824dd83838500db730965719b967810d932580ec8cb9591c2aa21f4a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04862",
    "kind": "arxiv",
    "version": 2
  }
}