Pith Number

pith:2ESOID6S

pith:2018:2ESOID6SOZBOB6ZPXA567WUIGI

not attested not anchored not stored refs pending

A conformally invariant gap theorem characterizing $\mathbb{CP}^2$ via the Ricci flow

Matthew Gursky, Siyi Zhang, Sun-Yung A. Chang

arxiv:1809.05918 v1 · 2018-09-16 · 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{2ESOID6SOZBOB6ZPXA567WUIGI}

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	2026-05-18T00:05:36.123620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d124e40fd27642e0fb2fb83befda88323d0c2492e8f1e5108e660da84d44fefc

Aliases

arxiv: 1809.05918 · arxiv_version: 1809.05918v1 · doi: 10.48550/arxiv.1809.05918 · pith_short_12: 2ESOID6SOZBO · pith_short_16: 2ESOID6SOZBOB6ZP · pith_short_8: 2ESOID6S

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/2ESOID6SOZBOB6ZPXA567WUIGI \
  | 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: d124e40fd27642e0fb2fb83befda88323d0c2492e8f1e5108e660da84d44fefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e74a7522c546de2a35697999e89d4b1e5121dbff334123e9b5851adfc4e479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-16T17:28:00Z",
    "title_canon_sha256": "6353ea6e241ff8b7f40d84a635b3ded096aa7c53ae9f7e6f0b83ee133e3889d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05918",
    "kind": "arxiv",
    "version": 1
  }
}