Pith Number

pith:3R5445Y3

pith:2026:3R5445Y3NSCRW4G77WAL5FMWVH

not attested not anchored not stored refs pending

Topology of two-dimensional collapsed spaces with lower Ricci bounds

Elia Bru\`e, Qin Deng

arxiv:2606.19189 v1 · 2026-06-17 · 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{3R5445Y3NSCRW4G77WAL5FMWVH}

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	2026-06-19T16:12:07.432206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7bce771b6c851b70dffd80be9596a9c20ff3fc01046e641ea6a80aa111fe61

Aliases

arxiv: 2606.19189 · arxiv_version: 2606.19189v1 · doi: 10.48550/arxiv.2606.19189 · pith_short_12: 3R5445Y3NSCR · pith_short_16: 3R5445Y3NSCRW4G7 · pith_short_8: 3R5445Y3

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/3R5445Y3NSCRW4G77WAL5FMWVH \
  | 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: dc7bce771b6c851b70dffd80be9596a9c20ff3fc01046e641ea6a80aa111fe61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1af6345465a43242cd0120097740ec1570f49a90d7b8b05dbb843102bf7da9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-17T15:31:03Z",
    "title_canon_sha256": "32f49063bba75ba4306dfe7ca0b62a14262de9ee4f695d4ada0bf903087cd736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19189",
    "kind": "arxiv",
    "version": 1
  }
}