Pith Number

pith:5CMIUIGI

pith:2026:5CMIUIGIGRWI2G6THQVXJAOUGM

not attested not anchored not stored refs pending

Vanishing of all redshift modes in Schwarzschild ringdown

Adrien Kuntz, Matteo Della Rocca

arxiv:2606.07173 v1 · 2026-06-05 · gr-qc · 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{5CMIUIGIGRWI2G6THQVXJAOUGM}

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	2026-06-08T01:04:50.722032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8988a20c8346c8d1bd33c2b7481d433295babde3e3ed13befc66a6518fc6ac3

Aliases

arxiv: 2606.07173 · arxiv_version: 2606.07173v1 · doi: 10.48550/arxiv.2606.07173 · pith_short_12: 5CMIUIGIGRWI · pith_short_16: 5CMIUIGIGRWI2G6T · pith_short_8: 5CMIUIGI

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/5CMIUIGIGRWI2G6THQVXJAOUGM \
  | 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: e8988a20c8346c8d1bd33c2b7481d433295babde3e3ed13befc66a6518fc6ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1ec1b5296512aef779078b300edc9e4daa65adbc2d41d9a6b08c717e838095",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-05T11:40:14Z",
    "title_canon_sha256": "6ae7b7d852c00f31730faab8e723cb00aad984765be065abaa6e46b15af09ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07173",
    "kind": "arxiv",
    "version": 1
  }
}