Pith Number

pith:P2YZYTTA

pith:2012:P2YZYTTAQFDUKP5D4MPZLCBSPJ

not attested not anchored not stored refs pending

Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions

Jan Metzger, Michael Eichmair

arxiv:1204.6065 v2 · 2012-04-26 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2YZYTTAQFDUKP5D4MPZLCBSPJ}

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	2026-05-18T01:57:43.502070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb19c4e608147453fa3e31f9588327a62dea897e6bae0c3e9c5ec3b5b954574

Aliases

arxiv: 1204.6065 · arxiv_version: 1204.6065v2 · doi: 10.48550/arxiv.1204.6065 · pith_short_12: P2YZYTTAQFDU · pith_short_16: P2YZYTTAQFDUKP5D · pith_short_8: P2YZYTTA

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/P2YZYTTAQFDUKP5D4MPZLCBSPJ \
  | 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: 7eb19c4e608147453fa3e31f9588327a62dea897e6bae0c3e9c5ec3b5b954574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de7e4c5a4b8481def3e895cffdaea657b9ec4c33326e5f672910a74d48a5647",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-26T21:26:01Z",
    "title_canon_sha256": "0675081301ea38034bf71dcfd1d630999c7281d01c35d95df234f8552a62863d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6065",
    "kind": "arxiv",
    "version": 2
  }
}