Pith Number

pith:A3PUGC3O

pith:2017:A3PUGC3OV4T4UX2D63T57VOX7W

not attested not anchored not stored refs pending

The black ring entropy from the Weyl tensor

Chun-Kai Yu, Nan Li, Ze-Wei Zhao

arxiv:1708.01742 v2 · 2017-08-05 · 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{A3PUGC3OV4T4UX2D63T57VOX7W}

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	2026-05-18T00:08:48.507485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06df430b6eaf27ca5f43f6e7dfd5d7fd91b471062f749c69c9eb382e32e47783

Aliases

arxiv: 1708.01742 · arxiv_version: 1708.01742v2 · doi: 10.48550/arxiv.1708.01742 · pith_short_12: A3PUGC3OV4T4 · pith_short_16: A3PUGC3OV4T4UX2D · pith_short_8: A3PUGC3O

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/A3PUGC3OV4T4UX2D63T57VOX7W \
  | 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: 06df430b6eaf27ca5f43f6e7dfd5d7fd91b471062f749c69c9eb382e32e47783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528debb062bcc6e086952241b18f58c8793e1228ee45c7b7d8b3d319d09409a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-05T09:41:23Z",
    "title_canon_sha256": "7576ae7b0b55560f2e7a8eb90fbe378c17a1e6797af22db81b82628a49ede114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01742",
    "kind": "arxiv",
    "version": 2
  }
}