Pith Number

pith:A4BBBKIE

pith:2009:A4BBBKIES4GPPFH45HNTLKJYJZ

not attested not anchored not stored refs pending

Moduli spaces of nonnegative sectional curvature and non-unique souls

Igor Belegradek, Reinhard Schultz, Slawomir Kwasik

arxiv:0912.4869 v3 · 2009-12-24 · 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{A4BBBKIES4GPPFH45HNTLKJYJZ}

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	2026-05-18T00:16:15.088952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

070210a904970cf794fce9db35a9384e74dcd05d151d43e894901806ccd88997

Aliases

arxiv: 0912.4869 · arxiv_version: 0912.4869v3 · doi: 10.48550/arxiv.0912.4869 · pith_short_12: A4BBBKIES4GP · pith_short_16: A4BBBKIES4GPPFH4 · pith_short_8: A4BBBKIE

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/A4BBBKIES4GPPFH45HNTLKJYJZ \
  | 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: 070210a904970cf794fce9db35a9384e74dcd05d151d43e894901806ccd88997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9532c83f9c6f471d29eaa0cd4371b9e9de63fefd25507a6bebe04b9812dc0972",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-24T14:30:28Z",
    "title_canon_sha256": "99212a60d70caa44b0ef417225abb1fc14fdb5eacfcc490d7eabab7ee1b223fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4869",
    "kind": "arxiv",
    "version": 3
  }
}