Pith Number

pith:R6LEFNQ3

pith:2026:R6LEFNQ3EUA5NCOS4PJHHVI25F

not attested not anchored not stored refs pending

Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole

Ariel Guzm\'an, J.R. Villanueva, Mohsen Fathi

arxiv:2606.20284 v1 · 2026-06-18 · gr-qc · astro-ph.HE · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6LEFNQ3EUA5NCOS4PJHHVI25F}

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	2026-06-19T16:13:07.742621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f9642b61b2501d689d2e3d273d51ae9667bcfa930e822869051bd1f6bc63c4b

Aliases

arxiv: 2606.20284 · arxiv_version: 2606.20284v1 · doi: 10.48550/arxiv.2606.20284 · pith_short_12: R6LEFNQ3EUA5 · pith_short_16: R6LEFNQ3EUA5NCOS · pith_short_8: R6LEFNQ3

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/R6LEFNQ3EUA5NCOS4PJHHVI25F \
  | 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: 8f9642b61b2501d689d2e3d273d51ae9667bcfa930e822869051bd1f6bc63c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0278b8ca42a775b91150aeccb68a2aad89fcc810a8525526b99889e324aedd11",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-18T14:28:28Z",
    "title_canon_sha256": "3f6ad422a0a52f1d55ed96bd3f40fd43cb292f65629f843e373c5a5c4809436b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20284",
    "kind": "arxiv",
    "version": 1
  }
}