Pith Number

pith:CGLT6IKQ

pith:2016:CGLT6IKQE43X4IS7B3P742N73U

not attested not anchored not stored refs pending

Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature

Fernando Galaz-Garcia, Luis Guijarro, Michael Munn, Qintao Deng

arxiv:1602.07724 v1 · 2016-02-24 · math.DG · 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{CGLT6IKQE43X4IS7B3P742N73U}

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	2026-05-18T01:20:00.589352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11973f215027377e225f0edffe69bfdd0693f9d6eb7a013d2f1e8c9e33693318

Aliases

arxiv: 1602.07724 · arxiv_version: 1602.07724v1 · doi: 10.48550/arxiv.1602.07724 · pith_short_12: CGLT6IKQE43X · pith_short_16: CGLT6IKQE43X4IS7 · pith_short_8: CGLT6IKQ

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/CGLT6IKQE43X4IS7B3P742N73U \
  | 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: 11973f215027377e225f0edffe69bfdd0693f9d6eb7a013d2f1e8c9e33693318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1fc8a145b0b052c3846534ba0d64b1121c45714fed83cd3361abf8f95b3c07",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-24T21:57:22Z",
    "title_canon_sha256": "4738f90c274f32d60a1eb513548a42ea864061a4c2b54c0b8862c38d3ae4b05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07724",
    "kind": "arxiv",
    "version": 1
  }
}