Pith Number

pith:WQ3KZVFJ

pith:2012:WQ3KZVFJVI2HXAXVGYY7IA4NG3

not attested not anchored not stored refs pending

Highly connected manifolds of positive $p$-curvature

Boris Botvinnik, Mohammed Labbi

arxiv:1201.1849 v2 · 2012-01-09 · math.DG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQ3KZVFJVI2HXAXVGYY7IA4NG3}

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	2026-05-18T03:37:08.909876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b436acd4a9aa347b82f53631f4038d36e4e18f4bedac3b903a2d520207016e6f

Aliases

arxiv: 1201.1849 · arxiv_version: 1201.1849v2 · doi: 10.48550/arxiv.1201.1849 · pith_short_12: WQ3KZVFJVI2H · pith_short_16: WQ3KZVFJVI2HXAXV · pith_short_8: WQ3KZVFJ

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/WQ3KZVFJVI2HXAXVGYY7IA4NG3 \
  | 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: b436acd4a9aa347b82f53631f4038d36e4e18f4bedac3b903a2d520207016e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ea143a7e66b20aad6bc69029a6b0e07330ef753f22a94af208330a8a670128",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-09T17:40:09Z",
    "title_canon_sha256": "7eeaafdd5a7173193c20be9aa3ccc5cf3c7fa1fec6a9add9682fcba0e610a6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1849",
    "kind": "arxiv",
    "version": 2
  }
}