Pith Number

pith:46UWN4FP

pith:2018:46UWN4FPCZUGSYPLHLOTLTLOCF

not attested not anchored not stored refs pending

On circumcenters of finite sets in Hilbert spaces

Heinz H. Bauschke, Hui Ouyang, Xianfu Wang

arxiv:1807.02093 v1 · 2018-07-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46UWN4FPCZUGSYPLHLOTLTLOCF}

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	2026-05-18T00:11:24.292781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a966f0af16686961eb3add35cd6e114d74d707f62cddb169dd0f59796afff9

Aliases

arxiv: 1807.02093 · arxiv_version: 1807.02093v1 · doi: 10.48550/arxiv.1807.02093 · pith_short_12: 46UWN4FPCZUG · pith_short_16: 46UWN4FPCZUGSYPL · pith_short_8: 46UWN4FP

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/46UWN4FPCZUGSYPLHLOTLTLOCF \
  | 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: e7a966f0af16686961eb3add35cd6e114d74d707f62cddb169dd0f59796afff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cb394d98f6bebb6a213af92d37ccda46a6b514bbfccb7114b1f2f9088b63f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-05T17:21:24Z",
    "title_canon_sha256": "7b0338ef37b6ed9228fe1b9d97680f7ca29663c1518c4c766dfe55663059cc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02093",
    "kind": "arxiv",
    "version": 1
  }
}