Pith Number

pith:WQ4L47PT

pith:2020:WQ4L47PTFJ2CHRKXBFYCGC5GCU

not attested not anchored not stored refs pending

Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants

Boris Botvinnik, Jonathan Rosenberg, Paolo Piazza

arxiv:2005.02744 v2 · 2020-05-06 · math.DG · math.KT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQ4L47PTFJ2CHRKXBFYCGC5GCU}

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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	2026-07-05T02:51:58.359709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b438be7df32a7423c5570970230ba615248738e53ed4b01d9e1a2dd83672d0cc

Aliases

arxiv: 2005.02744 · arxiv_version: 2005.02744v2 · doi: 10.48550/arxiv.2005.02744 · pith_short_12: WQ4L47PTFJ2C · pith_short_16: WQ4L47PTFJ2CHRKX · pith_short_8: WQ4L47PT

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/WQ4L47PTFJ2CHRKXBFYCGC5GCU \
  | 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: b438be7df32a7423c5570970230ba615248738e53ed4b01d9e1a2dd83672d0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c1851807c2c9d95de900d0543fadd9ea30feaf1c452063d13ee7e8d221bc62",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-05-06T11:29:36Z",
    "title_canon_sha256": "b7dea2a55f2cd931bd76cdb7893078fcfc31e9676deaf3cb5b4eb2ef587bc32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.02744",
    "kind": "arxiv",
    "version": 2
  }
}