Pith Number

pith:KMMEZIKD

pith:2016:KMMEZIKDUZEDDIKTSASNYHVX4H

not attested not anchored not stored refs pending

The Prescribed Ricci Curvature Problem on Three-Dimensional Unimodular Lie Groups

Timothy Buttsworth

arxiv:1607.03233 v3 · 2016-07-12 · 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{KMMEZIKDUZEDDIKTSASNYHVX4H}

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	2026-05-18T00:33:23.376776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53184ca143a64831a1539024dc1eb7e1ebf20896675a44f9f7330fe403b5fc92

Aliases

arxiv: 1607.03233 · arxiv_version: 1607.03233v3 · doi: 10.48550/arxiv.1607.03233 · pith_short_12: KMMEZIKDUZED · pith_short_16: KMMEZIKDUZEDDIKT · pith_short_8: KMMEZIKD

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/KMMEZIKDUZEDDIKTSASNYHVX4H \
  | 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: 53184ca143a64831a1539024dc1eb7e1ebf20896675a44f9f7330fe403b5fc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38304c879b63444c9e5a43a06872f7b2b8de55260a52a9c678459295e958f5b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-12T05:34:24Z",
    "title_canon_sha256": "f364755971c2c91cff1497b8bb16b6ce81af8f606015aad20afc49ef9a6558d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03233",
    "kind": "arxiv",
    "version": 3
  }
}