Pith Number

pith:HUTAY6TX

pith:2026:HUTAY6TXXFQ5A6A26VKSCOUY3K

not attested not anchored not stored refs pending

Thermal Stability and QNMs of a Hairy Black Hole in the Presence of a Monopole Field

Andri Machattou, Eleftherios Papantonopoulos, George Koutsoumbas

arxiv:2606.21332 v1 · 2026-06-19 · 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{HUTAY6TXXFQ5A6A26VKSCOUY3K}

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	2026-06-23T01:12:37.468789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d260c7a77b961d0781af555213a98dab75b8e01199be66b52e3c7b57751a45c

Aliases

arxiv: 2606.21332 · arxiv_version: 2606.21332v1 · doi: 10.48550/arxiv.2606.21332 · pith_short_12: HUTAY6TXXFQ5 · pith_short_16: HUTAY6TXXFQ5A6A2 · pith_short_8: HUTAY6TX

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/HUTAY6TXXFQ5A6A26VKSCOUY3K \
  | 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: 3d260c7a77b961d0781af555213a98dab75b8e01199be66b52e3c7b57751a45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29973709823994c669fb671ccab8754c0bd1c41dd6cd3fc562b8cbce94f91e6a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-19T11:26:37Z",
    "title_canon_sha256": "8bc863d46304b850e0d9c7edd8f80f7371898ff527ddff21efcd3e6da3f38e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21332",
    "kind": "arxiv",
    "version": 1
  }
}