Pith Number

pith:7YBHUMFT

pith:2013:7YBHUMFTP7DWZPB3WKXJCM5HS6

not attested not anchored not stored refs pending

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric spaces with Ricci curvature bounded below

Andrea Mondino, Nicola Gigli, Tapio Rajala

arxiv:1304.5359 v1 · 2013-04-19 · math.MG · 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{7YBHUMFTP7DWZPB3WKXJCM5HS6}

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	2026-05-18T01:19:55.813512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe027a30b37fc76cbc3bb2ae9133a797ad04f1f14ef20daadf83241f371dda2c

Aliases

arxiv: 1304.5359 · arxiv_version: 1304.5359v1 · doi: 10.48550/arxiv.1304.5359 · pith_short_12: 7YBHUMFTP7DW · pith_short_16: 7YBHUMFTP7DWZPB3 · pith_short_8: 7YBHUMFT

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/7YBHUMFTP7DWZPB3WKXJCM5HS6 \
  | 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: fe027a30b37fc76cbc3bb2ae9133a797ad04f1f14ef20daadf83241f371dda2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8de307a6e4c3f3f7655d40e79d9a556e97c1fde82ea1836757b3edd17096b18",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-04-19T09:46:17Z",
    "title_canon_sha256": "a822440526efad6f3f24f0cebdbe11f966e43f1d4b37b1aa548954049607e555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5359",
    "kind": "arxiv",
    "version": 1
  }
}