Pith Number

pith:N45P4IDI

pith:2026:N45P4IDIC7JGQUE7DHIVKR4NZT

not attested not anchored not stored refs pending

Discrete symmetries of modified Teukolsky equations

Ciro De Simone

arxiv:2607.27053 v1 · 2026-07-29 · 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{N45P4IDIC7JGQUE7DHIVKR4NZT}

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	2026-07-30T01:23:27.002958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6f3afe206817d268509f19d155478dccc0e350a7bbaa3e97e7a627b79d1d37ed

Aliases

arxiv: 2607.27053 · arxiv_version: 2607.27053v1 · doi: 10.48550/arxiv.2607.27053 · pith_short_12: N45P4IDIC7JG · pith_short_16: N45P4IDIC7JGQUE7 · pith_short_8: N45P4IDI

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/N45P4IDIC7JGQUE7DHIVKR4NZT \
  | 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: 6f3afe206817d268509f19d155478dccc0e350a7bbaa3e97e7a627b79d1d37ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad93f0f4c7c1165ca4c40cc9b45a2052ddcd05cf2cf647ccee31bc464bed3d72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-29T15:44:42Z",
    "title_canon_sha256": "ba8d9af93bd5c8d527eff37784e1f38eab33d9a9a90f2aa7636c50bba8c9c6bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27053",
    "kind": "arxiv",
    "version": 1
  }
}