Pith Number

pith:J7CP6LIS

pith:2011:J7CP6LISVOVAV75NXRH2IZ4YXK

not attested not anchored not stored refs pending

Essential dimension of projective orthogonal and symplectic groups of small degree

Sanghoon Baek

arxiv:1111.4697 v1 · 2011-11-20 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7CP6LISVOVAV75NXRH2IZ4YXK}

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	2026-05-18T04:08:02.824276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc4ff2d12abaa0affadbc4fa46798baacd3b98543e83eaff887c2fb84ca947e

Aliases

arxiv: 1111.4697 · arxiv_version: 1111.4697v1 · doi: 10.48550/arxiv.1111.4697 · pith_short_12: J7CP6LISVOVA · pith_short_16: J7CP6LISVOVAV75N · pith_short_8: J7CP6LIS

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/J7CP6LISVOVAV75NXRH2IZ4YXK \
  | 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: 4fc4ff2d12abaa0affadbc4fa46798baacd3b98543e83eaff887c2fb84ca947e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa80f4b4f3f6dcdaedcb180404d61c6d0aa5bf2e2a29c9ca8645d02c28028f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-20T22:40:11Z",
    "title_canon_sha256": "85db50dd98549cab08403b6733d500bb0369cd4d2053b975fa82b3bc5fe24468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4697",
    "kind": "arxiv",
    "version": 1
  }
}