Pith Number

pith:W45XLAEI

pith:2022:W45XLAEIB2ESKMPOVBQKB4XCLO

not attested not anchored not stored refs pending

The convergence of inversive distance circle packings to the Riemann mapping

Xu Xu, Yanwen Luo, Yuxiang Chen

arxiv:2204.08145 v2 · 2022-04-18 · 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{W45XLAEIB2ESKMPOVBQKB4XCLO}

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	2026-07-05T11:43:51.662197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73b7580880e892531eea860a0f2e25b935fa9a68cccc37429937c3a7a9a7c8b

Aliases

arxiv: 2204.08145 · arxiv_version: 2204.08145v2 · doi: 10.48550/arxiv.2204.08145 · pith_short_12: W45XLAEIB2ES · pith_short_16: W45XLAEIB2ESKMPO · pith_short_8: W45XLAEI

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/W45XLAEIB2ESKMPOVBQKB4XCLO \
  | 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: b73b7580880e892531eea860a0f2e25b935fa9a68cccc37429937c3a7a9a7c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e2ea841e1c3d9f3a295fea53fdfb232dcc044ea3ff8c8a23a33fa037ce41619",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-04-18T03:19:27Z",
    "title_canon_sha256": "a710da9cf147ecadb5bb530276f20b9124e981d8c4ab60b3e21f54d7a4259f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08145",
    "kind": "arxiv",
    "version": 2
  }
}