Pith Number

pith:TCRRUWNE

pith:2020:TCRRUWNEACRO6SSABLFPBCOA34

not attested not anchored not stored refs pending

No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds

Misha Gromov

arxiv:2009.05332 v1 · 2020-09-11 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCRRUWNEACRO6SSABLFPBCOA34}

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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

3 papers in Pith

Some constructions of uniformly positive scalar curvature metrics on open manifolds

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay

Sharp systolic inequalities for K\"ahler manifolds

Receipt and verification

First computed	2026-07-05T01:34:44.550039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a31a59a400a2ef4a400acaf089c0df3e22ba9dd70b4769211ee36c739e307c

Aliases

arxiv: 2009.05332 · arxiv_version: 2009.05332v1 · doi: 10.48550/arxiv.2009.05332 · pith_short_12: TCRRUWNEACRO · pith_short_16: TCRRUWNEACRO6SSA · pith_short_8: TCRRUWNE

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/TCRRUWNEACRO6SSABLFPBCOA34 \
  | 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: 98a31a59a400a2ef4a400acaf089c0df3e22ba9dd70b4769211ee36c739e307c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb71b704e8dead9aee75670488d13c6f79fee58943c26cd36b4878f7ded0498",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-09-11T10:48:40Z",
    "title_canon_sha256": "fda069e8654117bc38f4febafd21ac36aa69ccf9052ce1c35ad4c2ca0455dd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05332",
    "kind": "arxiv",
    "version": 1
  }
}