Pith Number

pith:76ULQ76U

pith:2020:76ULQ76U4IXOADC7V6KYGXR6TD

not attested not anchored not stored refs pending

Bardeen black hole surrounded by perfect fluid dark matter

He-Xu Zhang, Jian-Bo Deng, Peng-Zhang He, Tian-chi Ma, Yuan Chen

arxiv:2007.09408 v2 · 2020-07-18 · 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{76ULQ76U4IXOADC7V6KYGXR6TD}

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	2026-07-05T02:43:07.731991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa8b87fd4e22ee00c5faf95835e3e98f6d7c6332af41b1665ab193f7e131259

Aliases

arxiv: 2007.09408 · arxiv_version: 2007.09408v2 · doi: 10.48550/arxiv.2007.09408 · pith_short_12: 76ULQ76U4IXO · pith_short_16: 76ULQ76U4IXOADC7 · pith_short_8: 76ULQ76U

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/76ULQ76U4IXOADC7V6KYGXR6TD \
  | 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: ffa8b87fd4e22ee00c5faf95835e3e98f6d7c6332af41b1665ab193f7e131259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36eb921f17789d3f18883fa209eced2046e2c139ecb05117232d2588aa0f3b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-18T11:18:44Z",
    "title_canon_sha256": "ed2a94b4590c8426c31deac5348e5a6a6b4db924f0daed0259c450c5a7faed5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09408",
    "kind": "arxiv",
    "version": 2
  }
}