Pith Number

pith:A656PH5U

pith:2015:A656PH5UL7JIE5PY63GS6NQTGW

not attested not anchored not stored refs pending

The minimum mass of a spherically symmetric object in $D$-dimensions, and its implications for the mass hierarchy problem

Krai Cheamsawat, Matthew J. Lake, Piyabut Burikham, Tiberiu Harko

arxiv:1508.03832 v2 · 2015-08-16 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A656PH5UL7JIE5PY63GS6NQTGW}

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	2026-05-18T01:25:56.444446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bbe79fb45fd28275f8f6cd2f361335b52bf477058acc5f95b7c24894543df9

Aliases

arxiv: 1508.03832 · arxiv_version: 1508.03832v2 · doi: 10.48550/arxiv.1508.03832 · pith_short_12: A656PH5UL7JI · pith_short_16: A656PH5UL7JIE5PY · pith_short_8: A656PH5U

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/A656PH5UL7JIE5PY63GS6NQTGW \
  | 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: 07bbe79fb45fd28275f8f6cd2f361335b52bf477058acc5f95b7c24894543df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96fcc57c2f2b87ce96659047c90b5ab78b09e0b68b3098bfb4a12aa01add63b3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-16T15:00:41Z",
    "title_canon_sha256": "bbb0eb4803ec8c80d29eb8dafff65d378143137dcade2e2c66ec05c46c04e3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03832",
    "kind": "arxiv",
    "version": 2
  }
}