Pith Number

pith:AFJOJIDK

pith:2018:AFJOJIDKX2I4Y3FEIIWGEQIPXE

not attested not anchored not stored refs pending

K\"ahler geometry on complex projective spaces via reduction and unfolding

Alessandro Zampini, Giuseppe Marmo

arxiv:1809.09993 v1 · 2018-09-26 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFJOJIDKX2I4Y3FEIIWGEQIPXE}

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	2026-05-18T00:04:43.025751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0152e4a06abe91cc6ca4422c62410fb9224c494b12f9b59767e14b95e8997102

Aliases

arxiv: 1809.09993 · arxiv_version: 1809.09993v1 · doi: 10.48550/arxiv.1809.09993 · pith_short_12: AFJOJIDKX2I4 · pith_short_16: AFJOJIDKX2I4Y3FE · pith_short_8: AFJOJIDK

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/AFJOJIDKX2I4Y3FEIIWGEQIPXE \
  | 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: 0152e4a06abe91cc6ca4422c62410fb9224c494b12f9b59767e14b95e8997102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466debe83439ab4541ba68b0656eec3f07b7b6bffa9b6ac2ad281abfc8e32c4b",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-26T13:39:52Z",
    "title_canon_sha256": "e97467028befa9e06fd13bd49aecde3391a54305cece024d22b74b4240b453aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09993",
    "kind": "arxiv",
    "version": 1
  }
}