Pith Number

pith:IKDIG237

pith:2024:IKDIG2372Q33POZJJMQPUQOFAB

not attested not anchored not stored refs pending

Ground states for the double weighted critical Kirchhoff equation on the unit ball in $\mathbb{R}^3$

Jiabao Su, Yao Du

arxiv:2411.01256 v1 · 2024-11-02 · 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{IKDIG2372Q33POZJJMQPUQOFAB}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T09:30:27.576352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4286836b7fd437b7bb294b20fa41c5006c49187b63ee7885513e7593df24a450

Aliases

arxiv: 2411.01256 · arxiv_version: 2411.01256v1 · doi: 10.48550/arxiv.2411.01256 · pith_short_12: IKDIG2372Q33 · pith_short_16: IKDIG2372Q33POZJ · pith_short_8: IKDIG237

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/IKDIG2372Q33POZJJMQPUQOFAB \
  | 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: 4286836b7fd437b7bb294b20fa41c5006c49187b63ee7885513e7593df24a450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b695aea0408c1111b0ffaf7f16dc88423ddaea3505645d29c4804cee2df339c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-02T14:09:22Z",
    "title_canon_sha256": "36f1b7ed0efbf887add11a64136a695ea1b32689d0075a3dd26879f972772e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.01256",
    "kind": "arxiv",
    "version": 1
  }
}