Pith Number

pith:ALNMQ4IJ

pith:2017:ALNMQ4IJ524KSYLPCFVDD57YYZ

not attested not anchored not stored refs pending

On quotients of spaces with Ricci curvature bounded below

Andrea Mondino, Fernando Galaz-Garc\'ia, Gerardo Sosa, Martin Kell

arxiv:1704.05428 v1 · 2017-04-18 · 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{ALNMQ4IJ524KSYLPCFVDD57YYZ}

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	2026-05-17T23:46:55.734502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02dac87109eeb8a9616f116a31f7f8c64b4984077ea7063fefecc18d06002e02

Aliases

arxiv: 1704.05428 · arxiv_version: 1704.05428v1 · doi: 10.48550/arxiv.1704.05428 · pith_short_12: ALNMQ4IJ524K · pith_short_16: ALNMQ4IJ524KSYLP · pith_short_8: ALNMQ4IJ

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/ALNMQ4IJ524KSYLPCFVDD57YYZ \
  | 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: 02dac87109eeb8a9616f116a31f7f8c64b4984077ea7063fefecc18d06002e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a973e0e36f75f36bf19d6ea52de960c77ffc89881064a3fae0ccc3d7b4246b44",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-04-18T17:12:11Z",
    "title_canon_sha256": "91ff3405670a07e758a62ce4f89236b3a7427debc7e658105fdf4f7e13d691fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05428",
    "kind": "arxiv",
    "version": 1
  }
}