Pith Number

pith:BRCKYF52

pith:2022:BRCKYF52DAYCEANID4DBGUNQ6Q

not attested not anchored not stored refs pending

Extending Gibbons-Werner method to bound orbits of massive particles

Bing Sun, Yang Huang, Zhoujian Cao

arxiv:2212.04251 v6 · 2022-12-08 · 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{BRCKYF52DAYCEANID4DBGUNQ6Q}

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.

Cited by

1 paper in Pith

Boundary-only weak deflection angles from isothermal optical geometry

Receipt and verification

First computed	2026-07-05T09:12:22.200980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c44ac17ba18302201a81f061351b0f423f162aecff52e8ac505f26390eb81ea

Aliases

arxiv: 2212.04251 · arxiv_version: 2212.04251v6 · doi: 10.48550/arxiv.2212.04251 · pith_short_12: BRCKYF52DAYC · pith_short_16: BRCKYF52DAYCEANI · pith_short_8: BRCKYF52

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/BRCKYF52DAYCEANID4DBGUNQ6Q \
  | 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: 0c44ac17ba18302201a81f061351b0f423f162aecff52e8ac505f26390eb81ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22afd2a9994576b087cad72874ebf28ec895d8b16fb7c2e91efdb82aead15b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-08T13:08:12Z",
    "title_canon_sha256": "25f7812e3f6cd0f16ecc935947bc23a6a808210a09485d8186e0e94678adda5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04251",
    "kind": "arxiv",
    "version": 6
  }
}