Pith Number

pith:V4IKR2XU

pith:2018:V4IKR2XU4MRNXOUYEVSSUUBFBM

not attested not anchored not stored refs pending

Positive scalar curvature on manifolds with fibered singularities

Boris Botvinnik, Jonathan Rosenberg

arxiv:1808.06007 v5 · 2018-08-17 · math.DG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4IKR2XU4MRNXOUYEVSSUUBFBM}

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.

Cited by

1 paper in Pith

Positive scalar curvature on simply connected spin pseudomanifolds

Receipt and verification

First computed	2026-07-05T06:48:00.418851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af10a8eaf4e322dbba9825652a50250b06f99c50334e47cc6abf164676252e90

Aliases

arxiv: 1808.06007 · arxiv_version: 1808.06007v5 · doi: 10.48550/arxiv.1808.06007 · pith_short_12: V4IKR2XU4MRN · pith_short_16: V4IKR2XU4MRNXOUY · pith_short_8: V4IKR2XU

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/V4IKR2XU4MRNXOUYEVSSUUBFBM \
  | 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: af10a8eaf4e322dbba9825652a50250b06f99c50334e47cc6abf164676252e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1734dea771e8ec05d7025d3204494b4b2546eee89f59430b7a28d6fbd6e2516",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-17T21:40:19Z",
    "title_canon_sha256": "e4d4edc71864c226e6b47dbb0deff0c80487abb5018776961177d092ec3084ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06007",
    "kind": "arxiv",
    "version": 5
  }
}