Pith Number

pith:GZ7YR6OS

pith:2021:GZ7YR6OSNDFS7JG6X36APOHDSM

not attested not anchored not stored refs pending

Black Hole Zeroth Law in Horndeski Gravity

Aofei Sang, Jie Jiang

arxiv:2110.00903 v1 · 2021-10-03 · 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{GZ7YR6OSNDFS7JG6X36APOHDSM}

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	2026-07-05T03:30:15.941324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367f88f9d268cb2fa4debefc07b8e3930716f1a2a6ab41683a8e3ead0dfb8e22

Aliases

arxiv: 2110.00903 · arxiv_version: 2110.00903v1 · doi: 10.48550/arxiv.2110.00903 · pith_short_12: GZ7YR6OSNDFS · pith_short_16: GZ7YR6OSNDFS7JG6 · pith_short_8: GZ7YR6OS

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/GZ7YR6OSNDFS7JG6X36APOHDSM \
  | 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: 367f88f9d268cb2fa4debefc07b8e3930716f1a2a6ab41683a8e3ead0dfb8e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83038c3a3355e0d30e52019aa8aecfc67f6dc250803005b942a1245aa20ed0c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-03T01:52:21Z",
    "title_canon_sha256": "b1f156566135f35ef1c114c1dec7ecdc5643de1b692de79e1a59b4cca9e88059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00903",
    "kind": "arxiv",
    "version": 1
  }
}