Pith Number

pith:PJVF4L2F

pith:2012:PJVF4L2F6YF5KF2HMXKLKGWKXM

not attested not anchored not stored refs pending

A bounded homogeneous domain and a projective manifold are not relatives

Roberto Mossa

arxiv:1210.1352 v1 · 2012-10-04 · 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{PJVF4L2F6YF5KF2HMXKLKGWKXM}

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	2026-05-18T03:16:40.434795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6a5e2f45f60bd5174765d4b51acabb07c1033490c44f7618dcfc19f0b1a2d3

Aliases

arxiv: 1210.1352 · arxiv_version: 1210.1352v1 · doi: 10.48550/arxiv.1210.1352 · pith_short_12: PJVF4L2F6YF5 · pith_short_16: PJVF4L2F6YF5KF2H · pith_short_8: PJVF4L2F

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/PJVF4L2F6YF5KF2HMXKLKGWKXM \
  | 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: 7a6a5e2f45f60bd5174765d4b51acabb07c1033490c44f7618dcfc19f0b1a2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6fc135caab259c1c441783697f54acdb31b694fa581da36ce9a22312bdb1d2c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-04T09:35:02Z",
    "title_canon_sha256": "a6454f1795f1dad35ea0e58923848b50faf70272a3728d3dd2122a0ee7493458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1352",
    "kind": "arxiv",
    "version": 1
  }
}