Pith Number

pith:MTVS2U4V

pith:2026:MTVS2U4VDWMWXN4HOV4MB7VDBG

not attested not anchored not stored refs pending

Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes

Rupam Jyoti Borah, Umananda Dev Goswami

arxiv:2603.12919 v2 · 2026-03-13 · 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{MTVS2U4VDWMWXN4HOV4MB7VDBG}

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	2026-06-30T01:17:36.612856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64eb2d53951d996bb7877578c0fea309b792e47bfe11b147d0ec6e56f2e949b5

Aliases

arxiv: 2603.12919 · arxiv_version: 2603.12919v2 · doi: 10.48550/arxiv.2603.12919 · pith_short_12: MTVS2U4VDWMW · pith_short_16: MTVS2U4VDWMWXN4H · pith_short_8: MTVS2U4V

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/MTVS2U4VDWMWXN4HOV4MB7VDBG \
  | 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: 64eb2d53951d996bb7877578c0fea309b792e47bfe11b147d0ec6e56f2e949b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba7221cab70dc130edcf8503bb92c2743d990bc8c8aaf33942771953b4b5afd4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-13T11:48:53Z",
    "title_canon_sha256": "02a462412e3937a5a31e91a5f50010c2bd860695c0a5c35e8fefed9a7c7d2647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12919",
    "kind": "arxiv",
    "version": 2
  }
}