Pith Number

pith:YVO66VXV

pith:2021:YVO66VXVLPOUZBQMWANCLAMOGJ

not attested not anchored not stored refs pending

Almost volume cone implies almost metric cone for annuluses centered at a compact set in $RCD(K, N)$-spaces

Lina Chen

arxiv:2112.09353 v3 · 2021-12-17 · 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{YVO66VXVLPOUZBQMWANCLAMOGJ}

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

Warped products over one-dimensional base spaces and the RCD condition

Receipt and verification

First computed	2026-07-05T03:50:04.042726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55def56f55bdd4c860cb01a25818e3266c446ef09b0901795be9a339ff5d42a

Aliases

arxiv: 2112.09353 · arxiv_version: 2112.09353v3 · doi: 10.48550/arxiv.2112.09353 · pith_short_12: YVO66VXVLPOU · pith_short_16: YVO66VXVLPOUZBQM · pith_short_8: YVO66VXV

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/YVO66VXVLPOUZBQMWANCLAMOGJ \
  | 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: c55def56f55bdd4c860cb01a25818e3266c446ef09b0901795be9a339ff5d42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34bce8304c11bbb72aad2a1c61686f435c74972fb7bcca2cab7729c97ed56039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-17T07:10:50Z",
    "title_canon_sha256": "5a96d53b42e2dfb1703bd5eb787f5ec9ec463427ebbff1d3cbae54dc81039d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09353",
    "kind": "arxiv",
    "version": 3
  }
}