Pith Number

pith:CQ2R7XWY

pith:2024:CQ2R7XWY2VPNP2O5E23KKZIV2W

not attested not anchored not stored refs pending

Primary scalar hair in Gauss-Bonnet black holes with Thurston horizons

Julio Oliva, Luis Guajardo

arxiv:2412.20134 v2 · 2024-12-28 · hep-th · 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{CQ2R7XWY2VPNP2O5E23KKZIV2W}

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	2026-07-05T10:06:32.770750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14351fded8d55ed7e9dd26b6a56515d5a582a0554c3401354c946bcebe4c2eb1

Aliases

arxiv: 2412.20134 · arxiv_version: 2412.20134v2 · doi: 10.48550/arxiv.2412.20134 · pith_short_12: CQ2R7XWY2VPN · pith_short_16: CQ2R7XWY2VPNP2O5 · pith_short_8: CQ2R7XWY

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/CQ2R7XWY2VPNP2O5E23KKZIV2W \
  | 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: 14351fded8d55ed7e9dd26b6a56515d5a582a0554c3401354c946bcebe4c2eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f68e9ed936b7d3b548f36b4e88db4565425dde9ce01beefc79fc6291196255",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-28T12:42:36Z",
    "title_canon_sha256": "26b8b7f05841f357da8a37970ff1b197484f33c3543afb7dadb969579a987ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20134",
    "kind": "arxiv",
    "version": 2
  }
}