Pith Number

pith:GV43QQ7M

pith:2011:GV43QQ7MAJFA55EAXKJGJEE5LZ

not attested not anchored not stored refs pending

Isotropy of unitary involutions

Maksim Zhykhovich, Nikita Karpenko

arxiv:1103.5777 v4 · 2011-03-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GV43QQ7MAJFA55EAXKJGJEE5LZ}

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	2026-05-18T02:02:43.108528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3579b843ec024a0ef480ba9264909d5e4d7aa6fa01c3c46076c4f7457389ce18

Aliases

arxiv: 1103.5777 · arxiv_version: 1103.5777v4 · doi: 10.48550/arxiv.1103.5777 · pith_short_12: GV43QQ7MAJFA · pith_short_16: GV43QQ7MAJFA55EA · pith_short_8: GV43QQ7M

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/GV43QQ7MAJFA55EAXKJGJEE5LZ \
  | 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: 3579b843ec024a0ef480ba9264909d5e4d7aa6fa01c3c46076c4f7457389ce18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c726068b246cd703dfcd5d06a5b137f0d79c1d02f01f1110325623d6b8cc3400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-29T21:19:39Z",
    "title_canon_sha256": "1e0da91f1337b3254e966e5115ac4ead5803eb4dc9df349b333e8ed46dcebe73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5777",
    "kind": "arxiv",
    "version": 4
  }
}