Pith Number

pith:47YXI7QB

pith:2021:47YXI7QBA22YHKE6HXTSLMMAAD

not attested not anchored not stored refs pending

BMS charges without supertranslation ambiguity

Mu-Tao Wang, Po-Ning Chen, Shing-Tung Yau, Ye-Kai Wang

arxiv:2107.05316 v1 · 2021-07-12 · gr-qc · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47YXI7QBA22YHKE6HXTSLMMAAD}

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	2026-07-05T06:36:19.396259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f1747e0106b583a89e3de725b18000c963b095701aa7b876d6e3babce9a384

Aliases

arxiv: 2107.05316 · arxiv_version: 2107.05316v1 · doi: 10.48550/arxiv.2107.05316 · pith_short_12: 47YXI7QBA22Y · pith_short_16: 47YXI7QBA22YHKE6 · pith_short_8: 47YXI7QB

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/47YXI7QBA22YHKE6HXTSLMMAAD \
  | 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: e7f1747e0106b583a89e3de725b18000c963b095701aa7b876d6e3babce9a384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1aabf84529f0d7fb423b47860453b1521af00105767cc71c6e269fce93f576",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-12T11:05:12Z",
    "title_canon_sha256": "7e7e9732ebd35dcdbbb18df8af86454d802d5b20e600bdcc19ff2f62c66683a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05316",
    "kind": "arxiv",
    "version": 1
  }
}