Pith Number

pith:B6E4LV5B

pith:2016:B6E4LV5B4P22KTCXLWXPCEC365

not attested not anchored not stored refs pending

Odd symmetry of least energy nodal solutions for the Choquard equation

David Ruiz, Jean Van Schaftingen

arxiv:1606.05668 v1 · 2016-06-17 · 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{B6E4LV5B4P22KTCXLWXPCEC365}

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	2026-05-18T00:07:51.119140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f89c5d7a1e3f5a54c575daef1105bf767f828c0a2561c88373f55c40a9ace7f

Aliases

arxiv: 1606.05668 · arxiv_version: 1606.05668v1 · doi: 10.48550/arxiv.1606.05668 · pith_short_12: B6E4LV5B4P22 · pith_short_16: B6E4LV5B4P22KTCX · pith_short_8: B6E4LV5B

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/B6E4LV5B4P22KTCXLWXPCEC365 \
  | 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: 0f89c5d7a1e3f5a54c575daef1105bf767f828c0a2561c88373f55c40a9ace7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50eab75a2b0f51ffc97f3619809608c19073b0a800bc283f696c4740e7050916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-17T20:30:33Z",
    "title_canon_sha256": "0c91d84e09941dfd57a6aeea49a16df3ab7075c650bca75afacb5e8a136999e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05668",
    "kind": "arxiv",
    "version": 1
  }
}