Pith Number

pith:PKHBX7SH

pith:2015:PKHBX7SHNQUAPE4C3GS2RTRTSA

not attested not anchored not stored refs pending

Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension

Ali Maalaoui, Armin Schikorra, Luca Martinazzi

arxiv:1504.00254 v1 · 2015-04-01 · 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{PKHBX7SHNQUAPE4C3GS2RTRTSA}

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	2026-05-18T01:07:57.100350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8e1bfe476c28079382d9a5a8ce33900dec6f25648a5ebd3cc214756eb9fc83

Aliases

arxiv: 1504.00254 · arxiv_version: 1504.00254v1 · doi: 10.48550/arxiv.1504.00254 · pith_short_12: PKHBX7SHNQUA · pith_short_16: PKHBX7SHNQUAPE4C · pith_short_8: PKHBX7SH

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/PKHBX7SHNQUAPE4C3GS2RTRTSA \
  | 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: 7a8e1bfe476c28079382d9a5a8ce33900dec6f25648a5ebd3cc214756eb9fc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd4dcfe1aad06c5d25d5e92d842d2f3c6c4d68c1d5f52618e94419cb5a0ec32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-01T15:00:27Z",
    "title_canon_sha256": "2159ad851ea7fe6c9b008ed4be6450acd47d804f87284a4be9ed06d2154b5a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00254",
    "kind": "arxiv",
    "version": 1
  }
}