Pith Number

pith:VKMVR7K3

pith:2011:VKMVR7K3DH6ZVJJ7I4SO4ZI3MC

not attested not anchored not stored refs pending

A note on nonnegative curvature and (rational) homotopy type

Anand Dessai, Wilderich Tuschmann

arxiv:1103.4514 v1 · 2011-03-23 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKMVR7K3DH6ZVJJ7I4SO4ZI3MC}

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	2026-05-18T04:26:01.879456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9958fd5b19fd9aa53f4724ee651b60ac877521bffd893ee10841289b8198af

Aliases

arxiv: 1103.4514 · arxiv_version: 1103.4514v1 · doi: 10.48550/arxiv.1103.4514 · pith_short_12: VKMVR7K3DH6Z · pith_short_16: VKMVR7K3DH6ZVJJ7 · pith_short_8: VKMVR7K3

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/VKMVR7K3DH6ZVJJ7I4SO4ZI3MC \
  | 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: aa9958fd5b19fd9aa53f4724ee651b60ac877521bffd893ee10841289b8198af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01904a43066e5cc68a8b04ec3d12bfee9e7ede6e8899309beb9c2fab5111aec4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-23T13:38:44Z",
    "title_canon_sha256": "3427d9eab347ceb4bea42924df79bd1acc9d096f1a011d347b06628b6d607a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4514",
    "kind": "arxiv",
    "version": 1
  }
}