Pith Number

pith:2MF33LVA

pith:2011:2MF33LVAQIDU554KPH63VYK3KL

not attested not anchored not stored refs pending

Classification of Einstein metrics on the product of an interval with a three-sphere

Brian Krummel, Curtis T. Asplund, DaGang Yang, Evan Merrell, Robert Rachal

arxiv:1111.2153 v1 · 2011-11-09 · 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{2MF33LVAQIDU554KPH63VYK3KL}

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	2026-05-18T04:08:44.021683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30bbdaea082074ef78a79fdbae15b52f3b9c4a728314f673d3ec73b5d9f580e

Aliases

arxiv: 1111.2153 · arxiv_version: 1111.2153v1 · doi: 10.48550/arxiv.1111.2153 · pith_short_12: 2MF33LVAQIDU · pith_short_16: 2MF33LVAQIDU554K · pith_short_8: 2MF33LVA

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/2MF33LVAQIDU554KPH63VYK3KL \
  | 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: d30bbdaea082074ef78a79fdbae15b52f3b9c4a728314f673d3ec73b5d9f580e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5d23a544b8e3df81b604dae48140987c3b259c511a0f62a93eaa8eb594a821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-09T09:51:10Z",
    "title_canon_sha256": "c9b3c3e5c03a84fb1845ed8ea934ac5658fd6901b448a540f57d62490debe87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2153",
    "kind": "arxiv",
    "version": 1
  }
}