Pith Number

pith:GXSQB46A

pith:2014:GXSQB46APVK2D2KHHEWISWC44U

not attested not anchored not stored refs pending

Wasserstein Distance and the Rectifiability of Doubling Measures: Part II

Guy David, Jonas Azzam, Tatiana Toro

arxiv:1411.2512 v1 · 2014-11-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXSQB46APVK2D2KHHEWISWC44U}

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	2026-05-18T02:38:01.246644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e500f3c07d55a1e947392c89585ce5228acbd268a206932cdccf04ca176144

Aliases

arxiv: 1411.2512 · arxiv_version: 1411.2512v1 · doi: 10.48550/arxiv.1411.2512 · pith_short_12: GXSQB46APVK2 · pith_short_16: GXSQB46APVK2D2KH · pith_short_8: GXSQB46A

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/GXSQB46APVK2D2KHHEWISWC44U \
  | 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: 35e500f3c07d55a1e947392c89585ce5228acbd268a206932cdccf04ca176144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31aee3b44e5a466a47937cf873c5ef42f1fb46e283f4e245f0665bc0ad041b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-10T17:30:26Z",
    "title_canon_sha256": "fb2f04897cf64c990453d0b7c0b1f357099d4db9c56203a9fee768fa2747d9fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2512",
    "kind": "arxiv",
    "version": 1
  }
}