Pith Number

pith:YMQDQJXF

pith:2021:YMQDQJXFGKZUC2WK7AMBYJJ3EU

not attested not anchored not stored refs pending

A shell of Bosons in Spherically Symmetric spacetimes

Bin Wu, Duo Li, Wen-Li Yang, Zhen-Ming Xu

arxiv:2106.08653 v2 · 2021-06-16 · 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{YMQDQJXFGKZUC2WK7AMBYJJ3EU}

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.

Cited by

1 paper in Pith

Black Hole Thermodynamics via Tsallis Statistical Mechanics

Receipt and verification

First computed	2026-07-05T03:09:30.815231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3203826e532b3416acaf8181c253b25182754d01c64017af9873a3e9782279a

Aliases

arxiv: 2106.08653 · arxiv_version: 2106.08653v2 · doi: 10.48550/arxiv.2106.08653 · pith_short_12: YMQDQJXFGKZU · pith_short_16: YMQDQJXFGKZUC2WK · pith_short_8: YMQDQJXF

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/YMQDQJXFGKZUC2WK7AMBYJJ3EU \
  | 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: c3203826e532b3416acaf8181c253b25182754d01c64017af9873a3e9782279a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f525383abd8c439dc49434ef81151f074cf964f65a791884c7091cc5b0c32b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-16T09:32:06Z",
    "title_canon_sha256": "4542ee04a89cbac8132740e744796c0a189e67a1db3aa28670d2a480e2a844e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08653",
    "kind": "arxiv",
    "version": 2
  }
}