Pith Number

pith:ROISLLKI

pith:2010:ROISLLKIMZDNGVEXPIROH32QWK

not attested not anchored not stored refs pending

Concavity and rigidity in non-negative curvature

Luigi Verdiani, Wolfgang Ziller

arxiv:1012.2265 v2 · 2010-12-10 · 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{ROISLLKIMZDNGVEXPIROH32QWK}

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	2026-05-18T02:45:56.196953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b9125ad486646d354977a22e3ef50b2bd9bc00671a7fde6f1fa23437ca435dc

Aliases

arxiv: 1012.2265 · arxiv_version: 1012.2265v2 · doi: 10.48550/arxiv.1012.2265 · pith_short_12: ROISLLKIMZDN · pith_short_16: ROISLLKIMZDNGVEX · pith_short_8: ROISLLKI

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/ROISLLKIMZDNGVEXPIROH32QWK \
  | 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: 8b9125ad486646d354977a22e3ef50b2bd9bc00671a7fde6f1fa23437ca435dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86117ed8ab4a6a741f23efaeab86a891c9d19b9d13c71ffbff89f6257128298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-10T13:48:43Z",
    "title_canon_sha256": "c3586ccb48f9bdf1cf2a76bc315e7b3c7c9f36eeccd7fb5a26dbabf2c1400381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2265",
    "kind": "arxiv",
    "version": 2
  }
}