Pith Number

pith:ZRGRVMB6

pith:2015:ZRGRVMB6Z237D432EO7IBHCLMU

not attested not anchored not stored refs pending

Variation of total Q-prime curvature on CR manifolds

Kengo Hirachi, Taiji Marugame, Yoshihiko Matsumoto

arxiv:1510.03221 v4 · 2015-10-12 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRGRVMB6Z237D432EO7IBHCLMU}

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	2026-05-18T00:57:38.195197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4d1ab03eceb7f1f37a23be809c4b65011183b49c3dd572332202041c482dd3

Aliases

arxiv: 1510.03221 · arxiv_version: 1510.03221v4 · doi: 10.48550/arxiv.1510.03221 · pith_short_12: ZRGRVMB6Z237 · pith_short_16: ZRGRVMB6Z237D432 · pith_short_8: ZRGRVMB6

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/ZRGRVMB6Z237D432EO7IBHCLMU \
  | 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: cc4d1ab03eceb7f1f37a23be809c4b65011183b49c3dd572332202041c482dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8427e814e831120897b2f1c0d6f3ecf856cdd1ce005240a2e89a85f3e2cc4323",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-12T10:58:48Z",
    "title_canon_sha256": "08223906f92b03954f439aecb7aa00b9f0dfd5452cc01c71a539cae8fe9c6c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03221",
    "kind": "arxiv",
    "version": 4
  }
}