Pith Number

pith:PQQ5JGO7

pith:2015:PQQ5JGO7EQXLVHC32SFQHOOWX2

not attested not anchored not stored refs pending

Moser functions and fractional Moser-Trudinger type inequalities

Ali Hyder

arxiv:1510.06662 v1 · 2015-10-22 · 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{PQQ5JGO7EQXLVHC32SFQHOOWX2}

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	2026-05-18T01:29:30.332673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c21d499df242eba9c5bd48b03b9d6be8f1ca98baf3e0a516a73c90dc2b7f391

Aliases

arxiv: 1510.06662 · arxiv_version: 1510.06662v1 · doi: 10.48550/arxiv.1510.06662 · pith_short_12: PQQ5JGO7EQXL · pith_short_16: PQQ5JGO7EQXLVHC3 · pith_short_8: PQQ5JGO7

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/PQQ5JGO7EQXLVHC32SFQHOOWX2 \
  | 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: 7c21d499df242eba9c5bd48b03b9d6be8f1ca98baf3e0a516a73c90dc2b7f391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1a5a7a9d4d10dfde42c51805269b6a3668c89d02d1d4e05a56d84bf908e74a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-22T15:51:05Z",
    "title_canon_sha256": "aa02c17d580fb6b86b6a097e0c5be14009759f762ecc91e40eec065c5a7193da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06662",
    "kind": "arxiv",
    "version": 1
  }
}