Pith Number

pith:3JU62DLD

pith:2015:3JU62DLDIDX2H5GCYSU3MKUP6E

not attested not anchored not stored refs pending

Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations

Georg Schumacher, Matthias Braun, Young-Jun Choi

arxiv:1508.00323 v5 · 2015-08-03 · math.CV · 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{3JU62DLDIDX2H5GCYSU3MKUP6E}

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	2026-05-17T23:59:54.157284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da69ed0d6340efa3f4c2c4a9b62a8ff126b6ecf3e5dee32d94d4e92bd6546eb5

Aliases

arxiv: 1508.00323 · arxiv_version: 1508.00323v5 · doi: 10.48550/arxiv.1508.00323 · pith_short_12: 3JU62DLDIDX2 · pith_short_16: 3JU62DLDIDX2H5GC · pith_short_8: 3JU62DLD

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/3JU62DLDIDX2H5GCYSU3MKUP6E \
  | 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: da69ed0d6340efa3f4c2c4a9b62a8ff126b6ecf3e5dee32d94d4e92bd6546eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61bb366fcc0917886417eeb7bb4342e5ef86a9cd5c4d30de35da8bae6f1449ef",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-03T06:44:02Z",
    "title_canon_sha256": "ded4f5b24da925ef18dce1402fbdb3650b40d8499b93ac287271d9cb291f0727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00323",
    "kind": "arxiv",
    "version": 5
  }
}