Pith Number

pith:BQI7GUZ5

pith:1999:BQI7GUZ5XTNMPRDQU7UJ2I3UGR

not attested not anchored not stored refs pending

Manifolds with singularities accepting a metric, of positive scalar curvature

Boris Botvinnik

arxiv:math/9910177 v2 · 1999-11-01 · math.DG · math-ph · math.AT · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQI7GUZ5XTNMPRDQU7UJ2I3UGR}

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	2026-05-18T02:37:59.188044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c11f3533dbcdac7c470a7e89d237434618c1f45a134a3ec4d31d0f069bbcb0b

Aliases

arxiv: math/9910177 · arxiv_version: math/9910177v2 · doi: 10.48550/arxiv.math/9910177 · pith_short_12: BQI7GUZ5XTNM · pith_short_16: BQI7GUZ5XTNMPRDQ · pith_short_8: BQI7GUZ5

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/BQI7GUZ5XTNMPRDQU7UJ2I3UGR \
  | 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: 0c11f3533dbcdac7c470a7e89d237434618c1f45a134a3ec4d31d0f069bbcb0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788f314a30ddfbe6e74f2f3f7f696d9be267bdca4e04771ef9c27a8a4ace884a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.GT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-11-01T05:44:27Z",
    "title_canon_sha256": "c98e6ca6e3afe3300e2c4b25918cd1c0022d16be5defa9bec97afe5694d22896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910177",
    "kind": "arxiv",
    "version": 2
  }
}