Pith Number

pith:ZUH7PUSK

pith:2017:ZUH7PUSKGP3XMYBPAHYJJZVPRR

not attested not anchored not stored refs pending

Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport

Marcos Salvai, Yamile Godoy

arxiv:1704.05771 v2 · 2017-04-19 · math.DG · math.AP · 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{ZUH7PUSKGP3XMYBPAHYJJZVPRR}

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	2026-05-18T00:22:44.778764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0ff7d24a33f776602f01f094e6af8c6e747a55325bbc5fa1251a4f6f3275e2

Aliases

arxiv: 1704.05771 · arxiv_version: 1704.05771v2 · doi: 10.48550/arxiv.1704.05771 · pith_short_12: ZUH7PUSKGP3X · pith_short_16: ZUH7PUSKGP3XMYBP · pith_short_8: ZUH7PUSK

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/ZUH7PUSKGP3XMYBPAHYJJZVPRR \
  | 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: cd0ff7d24a33f776602f01f094e6af8c6e747a55325bbc5fa1251a4f6f3275e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a68d4e6248ec538ef9889c39732ac38db8391f7a73e19e06be5c6663bc593f4",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-19T15:21:52Z",
    "title_canon_sha256": "02a5a3a6a42243f0c532c5f3abc13f9840cfc7de40c2ba229e575346b028693e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05771",
    "kind": "arxiv",
    "version": 2
  }
}