Pith Number

pith:MVB2MJVN

pith:2023:MVB2MJVNUBOOUFYHT2XMWSSB4A

not attested not anchored not stored refs pending

Can cosmologically-coupled mass growth of black holes solve the mass gap problem?

Shi-Jie Gao, Xiang-Dong Li

arxiv:2307.10708 v1 · 2023-07-20 · astro-ph.HE · astro-ph.CO · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVB2MJVNUBOOUFYHT2XMWSSB4A}

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	2026-07-05T06:33:09.053517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6543a626ada05cea17079eaecb4a41e0350661478b190405896a8ec033479266

Aliases

arxiv: 2307.10708 · arxiv_version: 2307.10708v1 · doi: 10.48550/arxiv.2307.10708 · pith_short_12: MVB2MJVNUBOO · pith_short_16: MVB2MJVNUBOOUFYH · pith_short_8: MVB2MJVN

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/MVB2MJVNUBOOUFYHT2XMWSSB4A \
  | 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: 6543a626ada05cea17079eaecb4a41e0350661478b190405896a8ec033479266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abad4f5924405cc198fe726f60db36c9bf65da7d536385a467f5637dfb2d06c4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2023-07-20T08:58:50Z",
    "title_canon_sha256": "8b48fcfe99e1a3acb53caf523b95f15ee89625282772806482f478e60d9d0308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10708",
    "kind": "arxiv",
    "version": 1
  }
}