Pith Number

pith:XEF7YNPS

pith:2025:XEF7YNPSHTF36O7BHWBY55O7IQ

not attested not anchored not stored refs pending

Almost Global Solutions of Kirchhoff Equation

Duohui Xiang, Jianjun Liu

arxiv:2505.01248 v1 · 2025-05-02 · 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{XEF7YNPSHTF36O7BHWBY55O7IQ}

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	2026-07-05T10:57:48.189340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90bfc35f23ccbbf3be13d838ef5df440e17f4eb8a4185436b43a6b7f29b4a1d

Aliases

arxiv: 2505.01248 · arxiv_version: 2505.01248v1 · doi: 10.48550/arxiv.2505.01248 · pith_short_12: XEF7YNPSHTF3 · pith_short_16: XEF7YNPSHTF36O7B · pith_short_8: XEF7YNPS

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/XEF7YNPSHTF36O7BHWBY55O7IQ \
  | 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: b90bfc35f23ccbbf3be13d838ef5df440e17f4eb8a4185436b43a6b7f29b4a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f90889120ed1ed62bf51d5f53fef5b69d626d1668a729ce10d9d094124e74de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-02T13:15:35Z",
    "title_canon_sha256": "5c2c3ed4e0cb4a2a15d17da3dc64ec78381d59835ba50c624b03ef36ee49dbb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01248",
    "kind": "arxiv",
    "version": 1
  }
}