Pith Number

pith:BWEJCP6F

pith:2010:BWEJCP6FJOX56KUEKJVTTWWRR5

not attested not anchored not stored refs pending

On Einstein metrics, normalized Ricci flow and smooth structures on $3\mathbb{CP}^2 # k \bar{\mathbb{CP}}^2$

Rafael Torres

arxiv:1009.1160 v2 · 2010-09-06 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWEJCP6FJOX56KUEKJVTTWWRR5}

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	2026-05-18T03:48:01.178495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d88913fc54bafdf2a84526b39dad18f43df8f65f5c669f42ce359e8f31f78b0

Aliases

arxiv: 1009.1160 · arxiv_version: 1009.1160v2 · doi: 10.48550/arxiv.1009.1160 · pith_short_12: BWEJCP6FJOX5 · pith_short_16: BWEJCP6FJOX56KUE · pith_short_8: BWEJCP6F

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/BWEJCP6FJOX56KUEKJVTTWWRR5 \
  | 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: 0d88913fc54bafdf2a84526b39dad18f43df8f65f5c669f42ce359e8f31f78b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a811c4cd9fbde66a19804ccfb415269da6f939a66a2a7ce258f9c0d465c997",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-06T20:43:35Z",
    "title_canon_sha256": "5955fab0e2e0f3a32cd5e3e716f86a9a53cc984d847f11b8fafa7a17f4e92eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1160",
    "kind": "arxiv",
    "version": 2
  }
}