Pith Number

pith:2DG7WSHN

pith:2022:2DG7WSHNUIFJKRECFVBZ24FSJJ

not attested not anchored not stored refs pending

Ringing and echoes from black bounces surrounded by the string cloud

Dong Liu, Yi Yang, Zhaoyi Xu, Zheng-Wen Long

arxiv:2210.12641 v3 · 2022-10-23 · 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{2DG7WSHNUIFJKRECFVBZ24FSJJ}

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	2026-07-05T05:51:42.385080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0cdfb48eda20a9544822d439d70b24a61986c09d91b8de4bf178f493b65c1f2

Aliases

arxiv: 2210.12641 · arxiv_version: 2210.12641v3 · doi: 10.48550/arxiv.2210.12641 · pith_short_12: 2DG7WSHNUIFJ · pith_short_16: 2DG7WSHNUIFJKREC · pith_short_8: 2DG7WSHN

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/2DG7WSHNUIFJKRECFVBZ24FSJJ \
  | 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: d0cdfb48eda20a9544822d439d70b24a61986c09d91b8de4bf178f493b65c1f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89fd4f20fc150a386367eff35d4e7f28c26c2af69ecbb14317456012c0b9bdae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-10-23T07:48:27Z",
    "title_canon_sha256": "ac6e6f48d9f2a0ebc27a99dac915ce65454cf0fb65e3cfe23401d0ebed6d88b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12641",
    "kind": "arxiv",
    "version": 3
  }
}