Pith Number

pith:GXWGYXR5

pith:2019:GXWGYXR5O3AFUMT7WI4BCYJXLH

not attested not anchored not stored refs pending

Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons

Jianyu Ou, Weixiong Mai

arxiv:1905.09508 v2 · 2019-05-23 · 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{GXWGYXR5O3AFUMT7WI4BCYJXLH}

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	2026-05-17T23:42:13.434409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ec6c5e3d76c05a327fb23811613759fbb196a1dbdb7a4d0a5e17364aeb62b4

Aliases

arxiv: 1905.09508 · arxiv_version: 1905.09508v2 · doi: 10.48550/arxiv.1905.09508 · pith_short_12: GXWGYXR5O3AF · pith_short_16: GXWGYXR5O3AFUMT7 · pith_short_8: GXWGYXR5

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/GXWGYXR5O3AFUMT7WI4BCYJXLH \
  | 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: 35ec6c5e3d76c05a327fb23811613759fbb196a1dbdb7a4d0a5e17364aeb62b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc23f44077820de5e35c7c8432e9e07b63dee303f88d176d3588afd62373f82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-23T07:28:05Z",
    "title_canon_sha256": "05410aa07325ec89cbe5564b9abd6d6da891aa09ee942d3f700b0a1c3b07910b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09508",
    "kind": "arxiv",
    "version": 2
  }
}