Pith Number

pith:Q35JV4SE

pith:2016:Q35JV4SEHELUCKR6BF3CX7ILGM

not attested not anchored not stored refs pending

The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate

Denis Bonheure, Jean Van Schaftingen, Silvia Cingolani

arxiv:1612.02194 v1 · 2016-12-07 · 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{Q35JV4SEHELUCKR6BF3CX7ILGM}

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	2026-05-18T00:07:50.994099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86fa9af2443917412a3e09762bfd0b3335bb2e28ef4df77458fcbf2d33ac0750

Aliases

arxiv: 1612.02194 · arxiv_version: 1612.02194v1 · doi: 10.48550/arxiv.1612.02194 · pith_short_12: Q35JV4SEHELU · pith_short_16: Q35JV4SEHELUCKR6 · pith_short_8: Q35JV4SE

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/Q35JV4SEHELUCKR6BF3CX7ILGM \
  | 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: 86fa9af2443917412a3e09762bfd0b3335bb2e28ef4df77458fcbf2d33ac0750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fef61c1b7d2a83bda40b567e67408830d341309fff35417599bfe6336da27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-07T10:56:56Z",
    "title_canon_sha256": "5c255e6cd3a70374a0cba51ab3e1c3ffe44d0a8319c3344e99585b3ed7182f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02194",
    "kind": "arxiv",
    "version": 1
  }
}