Pith Number

pith:NG5CILW3

pith:2026:NG5CILW3FGMPVFG3Y5OSDE6BPQ

not attested not anchored not stored refs pending

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory

Adam Pound, Andrew Spiers, Jordan Moxon

arxiv:2606.24816 v1 · 2026-06-23 · 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{NG5CILW3FGMPVFG3Y5OSDE6BPQ}

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	2026-06-24T01:15:43.137467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ba242edb2998fa94dbc75d2193c17c0febd642a9b4fd06919a22995bfc1d90

Aliases

arxiv: 2606.24816 · arxiv_version: 2606.24816v1 · doi: 10.48550/arxiv.2606.24816 · pith_short_12: NG5CILW3FGMP · pith_short_16: NG5CILW3FGMPVFG3 · pith_short_8: NG5CILW3

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/NG5CILW3FGMPVFG3Y5OSDE6BPQ \
  | 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: 69ba242edb2998fa94dbc75d2193c17c0febd642a9b4fd06919a22995bfc1d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9d3a72255e5473c6e84d900de2ae660adf1461e879f5123a088771d6de7cc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-23T17:02:02Z",
    "title_canon_sha256": "d4f7240f10d75e7fca9b27eb9b0364c29b185cde0648881bd59aafd57a435035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24816",
    "kind": "arxiv",
    "version": 1
  }
}