Pith Number

pith:NNVDKGLI

pith:2018:NNVDKGLIOUCDG3SQAJ6PHKSHR4

not attested not anchored not stored refs pending

Hessian of the Ricci Calabi functional

Satoshi Nakamura

arxiv:1801.02431 v1 · 2018-01-08 · 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{NNVDKGLIOUCDG3SQAJ6PHKSHR4}

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	2026-05-18T00:26:31.641251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6a3519687504336e50027cf3aa478f03b86eb63998de6dfcc76d25075560d6

Aliases

arxiv: 1801.02431 · arxiv_version: 1801.02431v1 · doi: 10.48550/arxiv.1801.02431 · pith_short_12: NNVDKGLIOUCD · pith_short_16: NNVDKGLIOUCDG3SQ · pith_short_8: NNVDKGLI

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/NNVDKGLIOUCDG3SQAJ6PHKSHR4 \
  | 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: 6b6a3519687504336e50027cf3aa478f03b86eb63998de6dfcc76d25075560d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb93006f3e07c4b9f38fb976188999ae492fff37c464c339686764ee0615a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-08T14:07:37Z",
    "title_canon_sha256": "4f68419aecadf0d5ae5880a087439885d2fd896787440ae6330a001665401a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02431",
    "kind": "arxiv",
    "version": 1
  }
}