Pith Number

pith:NJ4L3W7K

pith:2015:NJ4L3W7KUMUWTZVP5MS24EDK7Q

not attested not anchored not stored refs pending

Pointwise Bounds and Blow-up for Choquard-Pekar Inequalities at an Isolated Singularity

Marius Ghergu, Steven D. Taliaferro

arxiv:1512.03778 v1 · 2015-12-11 · 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{NJ4L3W7KUMUWTZVP5MS24EDK7Q}

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	2026-05-18T01:24:31.383482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a78bddbeaa32969e6afeb25ae106afc3ebf6f44d2766b6a912695363dbc0ca0

Aliases

arxiv: 1512.03778 · arxiv_version: 1512.03778v1 · doi: 10.48550/arxiv.1512.03778 · pith_short_12: NJ4L3W7KUMUW · pith_short_16: NJ4L3W7KUMUWTZVP · pith_short_8: NJ4L3W7K

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/NJ4L3W7KUMUWTZVP5MS24EDK7Q \
  | 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: 6a78bddbeaa32969e6afeb25ae106afc3ebf6f44d2766b6a912695363dbc0ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583f9c42cbeca78711efabccdab16dc977ac94bdef378fc35363c12ca7ea5e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-11T20:00:52Z",
    "title_canon_sha256": "611d8d7d359d6b81e38921eb3809c8adc073966c6ec98a8806903573670a7061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03778",
    "kind": "arxiv",
    "version": 1
  }
}