Pith Number

pith:WRC3I2KE

pith:2011:WRC3I2KEJHXPH2M4VHBVKIIVWA

not attested not anchored not stored refs pending

Kahler-Einstein metrics with edge singularities

Rafe Mazzeo, T. Jeffres, Yanir A. Rubinstein

arxiv:1105.5216 v4 · 2011-05-26 · 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{WRC3I2KEJHXPH2M4VHBVKIIVWA}

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	2026-05-18T01:25:47.993812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b445b4694449eef3e99ca9c3552115b01eb70f8baa60d9dab95d222117c2fbb6

Aliases

arxiv: 1105.5216 · arxiv_version: 1105.5216v4 · doi: 10.48550/arxiv.1105.5216 · pith_short_12: WRC3I2KEJHXP · pith_short_16: WRC3I2KEJHXPH2M4 · pith_short_8: WRC3I2KE

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/WRC3I2KEJHXPH2M4VHBVKIIVWA \
  | 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: b445b4694449eef3e99ca9c3552115b01eb70f8baa60d9dab95d222117c2fbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca7acc1e08361e5219eb2857fc19a9e9828759a56dd94109ae2ab9130852885",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-26T07:11:10Z",
    "title_canon_sha256": "9fa1b68f4724f25b6db792989b3d29a37051214a1bda39390f74d8eb58e48e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5216",
    "kind": "arxiv",
    "version": 4
  }
}