Pith Number

pith:363UDXTC

pith:2012:363UDXTCGCN7IEB3GDOIK6YBPD

not attested not anchored not stored refs pending

Gap Theorems for Locally Conformally Flat Manifolds

Li Ma

arxiv:1209.5062 v2 · 2012-09-23 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{363UDXTCGCN7IEB3GDOIK6YBPD}

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	2026-05-18T01:32:01.542689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb741de62309bf4103b30dc857b0178c34e852eab58e4e7535e5b39316856c4

Aliases

arxiv: 1209.5062 · arxiv_version: 1209.5062v2 · doi: 10.48550/arxiv.1209.5062 · pith_short_12: 363UDXTCGCN7 · pith_short_16: 363UDXTCGCN7IEB3 · pith_short_8: 363UDXTC

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/363UDXTCGCN7IEB3GDOIK6YBPD \
  | 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: dfb741de62309bf4103b30dc857b0178c34e852eab58e4e7535e5b39316856c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5504508497239022002575fe7f48922d17c2a843da061c28ebd834d1227d0b49",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-23T12:29:31Z",
    "title_canon_sha256": "748ba1c14b96db53d23d7bf823b118bf9f3ec1a13b9950acf50327f8b172e103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5062",
    "kind": "arxiv",
    "version": 2
  }
}