Pith Number

pith:7PCUPTDG

pith:2022:7PCUPTDGY5KKJ4ZA4OICGOOICL

not attested not anchored not stored refs pending

Topology of $3$-manifolds with uniformly positive scalar curvature

Jian Wang (AMSS)

arxiv:2212.14383 v3 · 2022-12-29 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PCUPTDGY5KKJ4ZA4OICGOOICL}

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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

Band Width Estimates and Rigidity of Manifolds with Negative Curvature

Some constructions of uniformly positive scalar curvature metrics on open manifolds

Band Width Estimates and Rigidity of Manifolds with Negative Curvature

Receipt and verification

First computed	2026-07-05T11:25:58.388348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc547cc66c754a4f320e3902339c812d8260012ea279046822d01f08de81be3

Aliases

arxiv: 2212.14383 · arxiv_version: 2212.14383v3 · doi: 10.48550/arxiv.2212.14383 · pith_short_12: 7PCUPTDGY5KK · pith_short_16: 7PCUPTDGY5KKJ4ZA · pith_short_8: 7PCUPTDG

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/7PCUPTDGY5KKJ4ZA4OICGOOICL \
  | 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: fbc547cc66c754a4f320e3902339c812d8260012ea279046822d01f08de81be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ffdcdb68e9e5142ff4462322d72cf7518a0334188fc208509e9d8e11ffcc85",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-12-29T17:25:15Z",
    "title_canon_sha256": "79aeeaafa38fd80c9ff2d1d3091a974b15510b8941215743281487bf0532e433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14383",
    "kind": "arxiv",
    "version": 3
  }
}