Pith Number

pith:PIQ7FLFP

pith:2026:PIQ7FLFP57T436PVXSFW75XSG2

not attested not anchored not stored refs pending

Axial Obstructions to Rotating Bumblebee Vacuum Solutions

Minyong Guo, Zhong-Ying Fan

arxiv:2607.17223 v1 · 2026-07-19 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIQ7FLFP57T436PVXSFW75XSG2}

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	2026-07-21T01:21:22.441534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a21f2acafefe7cdf9f5bc8b6ff6f236a8bbd0140e5bba05768bfacbde27845f

Aliases

arxiv: 2607.17223 · arxiv_version: 2607.17223v1 · doi: 10.48550/arxiv.2607.17223 · pith_short_12: PIQ7FLFP57T4 · pith_short_16: PIQ7FLFP57T436PV · pith_short_8: PIQ7FLFP

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/PIQ7FLFP57T436PVXSFW75XSG2 \
  | 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: 7a21f2acafefe7cdf9f5bc8b6ff6f236a8bbd0140e5bba05768bfacbde27845f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2b5ec19ee4f5e526b182e7f24b425f30f76e598e032b63f1583bc4ea5d9495",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-19T12:25:56Z",
    "title_canon_sha256": "0442a6df5b1ada4e10479be8ba9b7e246d751fa2c950df1ca258cdc0efa5da14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17223",
    "kind": "arxiv",
    "version": 1
  }
}