Pith Number

pith:TQCHYAMZ

pith:2014:TQCHYAMZMDXTVEUPF3PJ4N5QGA

not attested not anchored not stored refs pending

Strongly positive curvature

Renato G. Bettiol, Ricardo A. E. Mendes

arxiv:1403.2117 v1 · 2014-03-09 · 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{TQCHYAMZMDXTVEUPF3PJ4N5QGA}

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	2026-05-18T00:14:16.847296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c047c019960ef3a928f2ede9e37b0303fb603925a15e4f139853a5f13d0e7ef

Aliases

arxiv: 1403.2117 · arxiv_version: 1403.2117v1 · doi: 10.48550/arxiv.1403.2117 · pith_short_12: TQCHYAMZMDXT · pith_short_16: TQCHYAMZMDXTVEUP · pith_short_8: TQCHYAMZ

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/TQCHYAMZMDXTVEUPF3PJ4N5QGA \
  | 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: 9c047c019960ef3a928f2ede9e37b0303fb603925a15e4f139853a5f13d0e7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "454de566342f08cbdbd0f3b8bc8aad170e52b2781a8c041a557b7689f0ad35c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-09T23:34:12Z",
    "title_canon_sha256": "cf72589355847580f1d0586bf6cd001c684575dac9e8b51b49a1cf8e73506ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2117",
    "kind": "arxiv",
    "version": 1
  }
}