Pith Number

pith:DN6HLZPA

pith:2022:DN6HLZPAECZVMVUJJSDZ7K6C36

not attested not anchored not stored refs pending

Collapsed manifolds with local Ricci bounded covering geometry

Xiaochun Rong

arxiv:2211.09998 v1 · 2022-11-18 · 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{DN6HLZPAECZVMVUJJSDZ7K6C36}

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

1 paper in Pith

Structure of Torus Fibration Under the First Betti Number Restriction

Receipt and verification

First computed	2026-07-05T05:17:16.972691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7c75e5e020b35656894c879fabc2df97e18c7451a04a89ed09731442a0e829

Aliases

arxiv: 2211.09998 · arxiv_version: 2211.09998v1 · doi: 10.48550/arxiv.2211.09998 · pith_short_12: DN6HLZPAECZV · pith_short_16: DN6HLZPAECZVMVUJ · pith_short_8: DN6HLZPA

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/DN6HLZPAECZVMVUJJSDZ7K6C36 \
  | 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: 1b7c75e5e020b35656894c879fabc2df97e18c7451a04a89ed09731442a0e829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553f550813c7c5c5ad6de291e7a6610f60d62a3fee6729ae9bded21f9204d0d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-11-18T02:55:04Z",
    "title_canon_sha256": "fba8ae6dec037d2654cfd51f13347268415cc4c01c8763200d7759f665428791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.09998",
    "kind": "arxiv",
    "version": 1
  }
}