Pith Number

pith:CDU4EGN7

pith:2026:CDU4EGN7DONEYM3YTTDCMKCNFD

not attested not anchored not stored refs pending

Polarization images of non-topological soliton Bardeen boson stars

Chen-Yu Yang, Ke-Jian He, Li-Fang Li, Xiao-Xiong Zeng

arxiv:2607.06321 v1 · 2026-07-07 · 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{CDU4EGN7DONEYM3YTTDCMKCNFD}

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	2026-07-08T01:19:21.311844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e9c219bf1b9a4c33789cc626284d28e9d08b6667527e8160d4b0fcd34adc4d

Aliases

arxiv: 2607.06321 · arxiv_version: 2607.06321v1 · doi: 10.48550/arxiv.2607.06321 · pith_short_12: CDU4EGN7DONE · pith_short_16: CDU4EGN7DONEYM3Y · pith_short_8: CDU4EGN7

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/CDU4EGN7DONEYM3YTTDCMKCNFD \
  | 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: 10e9c219bf1b9a4c33789cc626284d28e9d08b6667527e8160d4b0fcd34adc4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e78ac2f2f89a3bf0d032d045a9b38061b25015651bac3e4cb049a81288651e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-07T14:20:08Z",
    "title_canon_sha256": "215ff627bc490075393d8ca4f7c442489938cca2f2f506c97a733d07c4eb9627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06321",
    "kind": "arxiv",
    "version": 1
  }
}