Pith Number

pith:6DX23NL4

pith:2019:6DX23NL4OPH63ICQMNBCD5XN4I

not attested not anchored not stored refs pending

Four Lectures on Scalar Curvature

Misha Gromov

arxiv:1908.10612 v6 · 2019-08-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DX23NL4OPH63ICQMNBCD5XN4I}

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

9 papers in Pith

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $

A Positive Mass Theorem for Continuous Metrics

Gromov's Euclidean Endpoint $C^0$ Rigidity for the Positive Mass Theorem

On $3$-manifolds with small mass and $L^2$-curvature

Rigidity in the Positive Mass Theorem with $C^0$ Decay

Receipt and verification

First computed	2026-07-05T02:56:12.066929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0efadb57c73cfeda050634221f6ede23593d2325956587bf5c8576de4be06b2

Aliases

arxiv: 1908.10612 · arxiv_version: 1908.10612v6 · doi: 10.48550/arxiv.1908.10612 · pith_short_12: 6DX23NL4OPH6 · pith_short_16: 6DX23NL4OPH63ICQ · pith_short_8: 6DX23NL4

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/6DX23NL4OPH63ICQMNBCD5XN4I \
  | 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: f0efadb57c73cfeda050634221f6ede23593d2325956587bf5c8576de4be06b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438675ef036f210038b646c5f3dcdf39abdfc3b3bd99258ad3461949163ef1ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-28T09:49:28Z",
    "title_canon_sha256": "0fb4aefcfb83d495069cb7c423530b564dc998fe97b7146da58f8c102c99f952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10612",
    "kind": "arxiv",
    "version": 6
  }
}