Pith Number

pith:XM53NQNR

pith:2010:XM53NQNRF2BCV5NEQQH23AC4AI

not attested not anchored not stored refs pending

Non-symplectic actions on complex projective spaces

Marek Kaluba, Wojciech Politarczyk

arxiv:1004.2737 v4 · 2010-04-15 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XM53NQNRF2BCV5NEQQH23AC4AI}

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	2026-05-18T03:51:25.825741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3bb6c1b12e822af5a4840fad805c02271e4ce7428b4a6aaa6968972b69e5b2

Aliases

arxiv: 1004.2737 · arxiv_version: 1004.2737v4 · doi: 10.48550/arxiv.1004.2737 · pith_short_12: XM53NQNRF2BC · pith_short_16: XM53NQNRF2BCV5NE · pith_short_8: XM53NQNR

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/XM53NQNRF2BCV5NEQQH23AC4AI \
  | 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: bb3bb6c1b12e822af5a4840fad805c02271e4ce7428b4a6aaa6968972b69e5b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e35368a7a9a70eb7be91e2a500f61085af21106f374060ed5c55accdbfceda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-15T23:48:30Z",
    "title_canon_sha256": "05dd3add495c7f3dd686026e552f23fa82b034d8d4e7fbe2b1dcca277f9cb24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2737",
    "kind": "arxiv",
    "version": 4
  }
}