Pith Number

pith:YA556R24

pith:2010:YA556R246FDGGM263HEZ76KD2M

not attested not anchored not stored refs pending

Uniqueness of the Foliation of Constant Mean Curvature Spheres in Asymptotically Flat 3-Manifolds

Shiguang Ma

arxiv:1012.3231 v2 · 2010-12-15 · 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{YA556R246FDGGM263HEZ76KD2M}

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	2026-05-18T04:33:03.297841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03bdf475cf14663335ed9c99ff943d3023ce7da378388518017447450a7a079

Aliases

arxiv: 1012.3231 · arxiv_version: 1012.3231v2 · doi: 10.48550/arxiv.1012.3231 · pith_short_12: YA556R246FDG · pith_short_16: YA556R246FDGGM26 · pith_short_8: YA556R24

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/YA556R246FDGGM263HEZ76KD2M \
  | 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: c03bdf475cf14663335ed9c99ff943d3023ce7da378388518017447450a7a079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b6a86c2bd60833cb3354dbcc6d6abe9be4b2d5e5856349c770874668892f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-15T05:27:39Z",
    "title_canon_sha256": "38d6dd0d06aa0f69194c08de65a7d5bd9a67839924badd59924eaadcbc63feda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3231",
    "kind": "arxiv",
    "version": 2
  }
}