Pith Number

pith:ILWRVNTW

pith:2013:ILWRVNTWDNRZUR5QYSATXNKC5S

not attested not anchored not stored refs pending

Critical metrics on connected sums of Einstein four-manifolds

Jeff A. Viaclovsky, Matthew J. Gursky

arxiv:1303.0827 v1 · 2013-03-04 · 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{ILWRVNTWDNRZUR5QYSATXNKC5S}

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.

Cited by

1 paper in Pith

Asymptotically Z-stable bundles over projective surfaces

Receipt and verification

First computed	2026-05-18T03:31:54.790474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ed1ab6761b639a47b0c4813bb542ecbf69c277cf9ef2c6c2d4a2db757a7b77

Aliases

arxiv: 1303.0827 · arxiv_version: 1303.0827v1 · doi: 10.48550/arxiv.1303.0827 · pith_short_12: ILWRVNTWDNRZ · pith_short_16: ILWRVNTWDNRZUR5Q · pith_short_8: ILWRVNTW

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/ILWRVNTWDNRZUR5QYSATXNKC5S \
  | 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: 42ed1ab6761b639a47b0c4813bb542ecbf69c277cf9ef2c6c2d4a2db757a7b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eae27f0bc7da8606095973e83b7cbfc0c1d7634a173a5ec3c5074e26c60610a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-04T20:57:09Z",
    "title_canon_sha256": "43eb9972884a0df5ba13341b2b4370733517b04bbb129ee487f453b95cc8f6f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0827",
    "kind": "arxiv",
    "version": 1
  }
}