Pith Number

pith:FCVR6DZ6

pith:2021:FCVR6DZ6SQFMCEMCYULHWNHFZV

not attested not anchored not stored refs pending

Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations

Athanasios Bakopoulos, Theodoros Nakas

arxiv:2107.05656 v2 · 2021-07-12 · gr-qc · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCVR6DZ6SQFMCEMCYULHWNHFZV}

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	2026-07-05T04:16:12.881566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ab1f0f3e940ac11182c5167b34e5cd422af5df75ee84bcd7f20eb7127caead

Aliases

arxiv: 2107.05656 · arxiv_version: 2107.05656v2 · doi: 10.48550/arxiv.2107.05656 · pith_short_12: FCVR6DZ6SQFM · pith_short_16: FCVR6DZ6SQFMCEMC · pith_short_8: FCVR6DZ6

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/FCVR6DZ6SQFMCEMCYULHWNHFZV \
  | 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: 28ab1f0f3e940ac11182c5167b34e5cd422af5df75ee84bcd7f20eb7127caead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4111040cdba3cb0efffa3a953ffae079944b5c1d530f662c23f3b52f430f6a51",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-12T18:00:13Z",
    "title_canon_sha256": "0277b3c42360ea91013d1edb6e25634b46a61b4568f00bf00fedfad2d0ad5c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05656",
    "kind": "arxiv",
    "version": 2
  }
}