Pith Number

pith:UEYCAI5B

pith:2012:UEYCAI5BEKIWGQ24LZ3CWAZJME

not attested not anchored not stored refs pending

An upper bound for the Lusternik-Schnirelmann category of the symplectic group

E. Mac\'ias-Virg\'os, M. J. Pereira-S\'aez

arxiv:1202.5570 v2 · 2012-02-24 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEYCAI5BEKIWGQ24LZ3CWAZJME}

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	2026-05-18T04:00:48.940204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1302023a1229163435c5e762b0329610d33d4b6dd52c886cd36d654d922dc1c

Aliases

arxiv: 1202.5570 · arxiv_version: 1202.5570v2 · doi: 10.48550/arxiv.1202.5570 · pith_short_12: UEYCAI5BEKIW · pith_short_16: UEYCAI5BEKIWGQ24 · pith_short_8: UEYCAI5B

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/UEYCAI5BEKIWGQ24LZ3CWAZJME \
  | 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: a1302023a1229163435c5e762b0329610d33d4b6dd52c886cd36d654d922dc1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2384633848aabbba542fedd86269fa40937b580613afa4f2b8427bf61bc546b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-24T21:45:02Z",
    "title_canon_sha256": "f45812fe1db1d06c760c5734095d27a609b11459d658ca2b95e6d9ebfaa48077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5570",
    "kind": "arxiv",
    "version": 2
  }
}