Pith Number

pith:FW54VTAW

pith:2010:FW54VTAWQD64PIM3ZKS7KZ54WN

not attested not anchored not stored refs pending

Calabi product Lagrangian immersions in complex projective space and complex hyperbolic space

Haizhong Li, Xianfeng Wang

arxiv:1010.0956 v1 · 2010-10-05 · 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{FW54VTAWQD64PIM3ZKS7KZ54WN}

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	2026-05-18T02:23:46.592658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbbcacc1680fdc7a19bcaa5f567bcb355fff0cbb7e720f08ebbc04b93d3d342

Aliases

arxiv: 1010.0956 · arxiv_version: 1010.0956v1 · doi: 10.48550/arxiv.1010.0956 · pith_short_12: FW54VTAWQD64 · pith_short_16: FW54VTAWQD64PIM3 · pith_short_8: FW54VTAW

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/FW54VTAWQD64PIM3ZKS7KZ54WN \
  | 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: 2dbbcacc1680fdc7a19bcaa5f567bcb355fff0cbb7e720f08ebbc04b93d3d342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8720268d0b1e4a39ada055557a36a15e2425bd3483a1ce84374d5736d267e041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-05T17:45:28Z",
    "title_canon_sha256": "860c2ad3ed32dda41dd37f9d6c8724662ecb2c479e3f187389dcc71ec322b60b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0956",
    "kind": "arxiv",
    "version": 1
  }
}