Pith Number

pith:PPFHMX2A

pith:2019:PPFHMX2AI5EBM5PEZ4ICN23FWK

not attested not anchored not stored refs pending

On the structure of RCD spaces with upper curvature bounds

Christian Ketterer, Martin Kell, Vitali Kapovitch

arxiv:1908.07036 v2 · 2019-08-19 · 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{PPFHMX2AI5EBM5PEZ4ICN23FWK}

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	2026-07-05T00:03:00.879848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bca765f4047481675e4cf1026eb65b2bba2cf6a8c06344f7f41b4a7a3d20815

Aliases

arxiv: 1908.07036 · arxiv_version: 1908.07036v2 · doi: 10.48550/arxiv.1908.07036 · pith_short_12: PPFHMX2AI5EB · pith_short_16: PPFHMX2AI5EBM5PE · pith_short_8: PPFHMX2A

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/PPFHMX2AI5EBM5PEZ4ICN23FWK \
  | 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: 7bca765f4047481675e4cf1026eb65b2bba2cf6a8c06344f7f41b4a7a3d20815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0548890dc9bf2f276caf2ef1f5faeb3f6c014d7bc7cb967de3adeeb9cad8cfd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-19T19:23:43Z",
    "title_canon_sha256": "424a4c33539e761451dfcc259e7d6dfd168a91e6c0de52cbe014215a798ea699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07036",
    "kind": "arxiv",
    "version": 2
  }
}