Pith Number

pith:T6XH3AY6

pith:2017:T6XH3AY6YBOHQ4KDXXXE4D4DIG

not attested not anchored not stored refs pending

Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well

Kazunaga Tanaka, Silvia Cingolani

arxiv:1708.02356 v1 · 2017-08-08 · 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{T6XH3AY6YBOHQ4KDXXXE4D4DIG}

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	2026-05-18T00:38:24.638542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fae7d831ec05c787143bdee4e0f83418ffb2d241c485ded84257ac0528f62c1

Aliases

arxiv: 1708.02356 · arxiv_version: 1708.02356v1 · doi: 10.48550/arxiv.1708.02356 · pith_short_12: T6XH3AY6YBOH · pith_short_16: T6XH3AY6YBOHQ4KD · pith_short_8: T6XH3AY6

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/T6XH3AY6YBOHQ4KDXXXE4D4DIG \
  | 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: 9fae7d831ec05c787143bdee4e0f83418ffb2d241c485ded84257ac0528f62c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad75d90e6746a21b79c01e05463ad791d9d2c6a90adc17ff80876418e58a976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-08T02:37:40Z",
    "title_canon_sha256": "92d2c6b53dd250273c941a67ef0b3b936202c3672a21ce8530487114fc12955b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02356",
    "kind": "arxiv",
    "version": 1
  }
}