Pith Number

pith:G45VVOV2

pith:2026:G45VVOV2WISWV42VNBTE3EBRK6

not attested not anchored not stored refs pending

Spin Polarization of Proca Stars Formed by Gravitational Bose--Einstein Condensation

Jiajun Chen

arxiv:2607.05278 v1 · 2026-07-06 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G45VVOV2WISWV42VNBTE3EBRK6}

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	2026-07-07T03:19:21.767298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373b5ababab2256af35568664d9031579e1513a0c08090555f9548396d7d644c

Aliases

arxiv: 2607.05278 · arxiv_version: 2607.05278v1 · doi: 10.48550/arxiv.2607.05278 · pith_short_12: G45VVOV2WISW · pith_short_16: G45VVOV2WISWV42V · pith_short_8: G45VVOV2

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/G45VVOV2WISWV42VNBTE3EBRK6 \
  | 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: 373b5ababab2256af35568664d9031579e1513a0c08090555f9548396d7d644c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67b34e3c30ec9de23648d0eacd06a5e4214300cded92d56277cff700c6431bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-06T16:24:27Z",
    "title_canon_sha256": "b7857fa8a406854acd07357715fd9770f0f0f8b6a090b75ac5d7a964d7129732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05278",
    "kind": "arxiv",
    "version": 1
  }
}