Pith Number

pith:K2UE7DWY

pith:2021:K2UE7DWYCJMJEJQTBXW2JT2N5V

not attested not anchored not stored refs pending

The curvature of convex sum of metrics and applications

Giovane Galindo, Leonardo F. Cavenaghi, Llohann D. Speran\c{c}a

arxiv:2106.14781 v2 · 2021-06-28 · 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{K2UE7DWYCJMJEJQTBXW2JT2N5V}

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	2026-05-20T01:06:02.594336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a84f8ed812589226130deda4cf4ded585254b0ec234566b9edfc2b976aba1f

Aliases

arxiv: 2106.14781 · arxiv_version: 2106.14781v2 · doi: 10.48550/arxiv.2106.14781 · pith_short_12: K2UE7DWYCJMJ · pith_short_16: K2UE7DWYCJMJEJQT · pith_short_8: K2UE7DWY

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/K2UE7DWYCJMJEJQTBXW2JT2N5V \
  | 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: 56a84f8ed812589226130deda4cf4ded585254b0ec234566b9edfc2b976aba1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3feebd1f18dbb89037a79c324ea507426e64c1fcfd2257a14faca85ee12e9696",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-28T14:55:24Z",
    "title_canon_sha256": "7e8a72dbce55684acbdef5957f15b22765dd8f0afe67965c376896d8764fda9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14781",
    "kind": "arxiv",
    "version": 2
  }
}