Pith Number

pith:XFNPT6OD

pith:2012:XFNPT6ODE3HKJAKVQOHWOT3STF

not attested not anchored not stored refs pending

On the radius pinching estimate and uniqueness of the CMC foliation in asymptotically flat 3-manifolds

Shiguang Ma

arxiv:1207.0281 v2 · 2012-07-02 · 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{XFNPT6ODE3HKJAKVQOHWOT3STF}

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	2026-05-18T02:39:30.633158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95af9f9c326cea48155838f674f72997c50eb8a5574ee960454f3d6c1ae3b6b

Aliases

arxiv: 1207.0281 · arxiv_version: 1207.0281v2 · doi: 10.48550/arxiv.1207.0281 · pith_short_12: XFNPT6ODE3HK · pith_short_16: XFNPT6ODE3HKJAKV · pith_short_8: XFNPT6OD

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/XFNPT6ODE3HKJAKVQOHWOT3STF \
  | 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: b95af9f9c326cea48155838f674f72997c50eb8a5574ee960454f3d6c1ae3b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1678f7e7570d5efbbc38d8e029e9c7f52690ecd16e38e28063b13072a182d52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-02T05:26:04Z",
    "title_canon_sha256": "a61981d1feec29b00776b7c440c4eead02788763b821c62ff5d9ce70f0fad3d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0281",
    "kind": "arxiv",
    "version": 2
  }
}