Pith Number

pith:OIXMNS6T

pith:2024:OIXMNS6T57RAR44VJJTWG5FUO3

not attested not anchored not stored refs pending

Complete Riemannian 4-manifolds with uniformly positive scalar curvature

Anubhav Mukherjee, Davi Maximo, Otis Chodosh

arxiv:2407.05574 v1 · 2024-07-08 · math.DG · math.GT · math.SG

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\usepackage{pith}
\pithnumber{OIXMNS6T57RAR44VJJTWG5FUO3}

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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

Some constructions of uniformly positive scalar curvature metrics on open manifolds

Receipt and verification

First computed	2026-07-05T08:41:15.540902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722ec6cbd3efe208f3954a676374b476cdc8619531f5072c0c8930305bb7ee61

Aliases

arxiv: 2407.05574 · arxiv_version: 2407.05574v1 · doi: 10.48550/arxiv.2407.05574 · pith_short_12: OIXMNS6T57RA · pith_short_16: OIXMNS6T57RAR44V · pith_short_8: OIXMNS6T

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/OIXMNS6T57RAR44VJJTWG5FUO3 \
  | 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: 722ec6cbd3efe208f3954a676374b476cdc8619531f5072c0c8930305bb7ee61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c6332cad09b1c5870d9709d685c37a5c2ea9a6e18dd64cd97cfdaf44092aa7",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-07-08T03:15:20Z",
    "title_canon_sha256": "6b633737ccd13e6f19fe50a843c6ccfca3ac6b272fa5775a6fecb32a55cf39ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05574",
    "kind": "arxiv",
    "version": 1
  }
}