Pith Number

pith:KY7Q67KE

pith:2017:KY7Q67KEMLQ4GXSK4RYW6JIVOB

not attested not anchored not stored refs pending

An almost rigidity Theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth

Xian-Tao Huang

arxiv:1710.05830 v1 · 2017-10-16 · 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{KY7Q67KEMLQ4GXSK4RYW6JIVOB}

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.

Receipt and verification

First computed	2026-05-18T00:32:48.028579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563f0f7d4462e1c35e4ae4716f2515705effe9af95bce1902b8d0b6945dd81a1

Aliases

arxiv: 1710.05830 · arxiv_version: 1710.05830v1 · doi: 10.48550/arxiv.1710.05830 · pith_short_12: KY7Q67KEMLQ4 · pith_short_16: KY7Q67KEMLQ4GXSK · pith_short_8: KY7Q67KE

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/KY7Q67KEMLQ4GXSK4RYW6JIVOB \
  | 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: 563f0f7d4462e1c35e4ae4716f2515705effe9af95bce1902b8d0b6945dd81a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc09b51e0c1b7056ed8f0f928995d2a0d92d3b3b02b5327c5f27c98f72addc8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-16T16:55:04Z",
    "title_canon_sha256": "b9bfe39432933407cb723b047b07665309260920a65c6fc1900f97a7b1362805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05830",
    "kind": "arxiv",
    "version": 1
  }
}