Pith Number

pith:YNSUHPLN

pith:2018:YNSUHPLNRTU2Z4R6SXPOWQNDAN

not attested not anchored not stored refs pending

A Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature

Changliang Wang, Jiewon Park, Wenchuan Tian

arxiv:1812.03502 v1 · 2018-12-09 · 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{YNSUHPLNRTU2Z4R6SXPOWQNDAN}

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	2026-05-17T23:58:46.139206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36543bd6d8ce9acf23e95deeb41a303504a2a483fe5f2d474a39f01b9b14a07

Aliases

arxiv: 1812.03502 · arxiv_version: 1812.03502v1 · doi: 10.48550/arxiv.1812.03502 · pith_short_12: YNSUHPLNRTU2 · pith_short_16: YNSUHPLNRTU2Z4R6 · pith_short_8: YNSUHPLN

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/YNSUHPLNRTU2Z4R6SXPOWQNDAN \
  | 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: c36543bd6d8ce9acf23e95deeb41a303504a2a483fe5f2d474a39f01b9b14a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26dd850d0ada51b6a2384c92a9b93c15ff70a6de975a02a57c14c6aa00b29ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-09T15:36:08Z",
    "title_canon_sha256": "71e85da3ca950c3b0cc548af843fe1f2cedd0b097f6285b8dd1bb139e342030b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03502",
    "kind": "arxiv",
    "version": 1
  }
}