Pith Number

pith:VQWTGG4J

pith:2018:VQWTGG4JNLQWUVDH6ZH6EJZNZJ

not attested not anchored not stored refs pending

Weyl's polarization theorem in positive characteristic

Harm Derksen, Visu Makam

arxiv:1803.03602 v2 · 2018-03-09 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQWTGG4JNLQWUVDH6ZH6EJZNZJ}

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	2026-05-17T23:59:58.094425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2d331b896ae16a5467f64fe2272dca68fd6fd392fb9efe781e5ffdad2dd654

Aliases

arxiv: 1803.03602 · arxiv_version: 1803.03602v2 · doi: 10.48550/arxiv.1803.03602 · pith_short_12: VQWTGG4JNLQW · pith_short_16: VQWTGG4JNLQWUVDH · pith_short_8: VQWTGG4J

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/VQWTGG4JNLQWUVDH6ZH6EJZNZJ \
  | 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: ac2d331b896ae16a5467f64fe2272dca68fd6fd392fb9efe781e5ffdad2dd654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0266a055649cee5863f920c7eefcd001a2ab09dfbcb5f01dfaf863e0cd4216f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-03-09T17:14:55Z",
    "title_canon_sha256": "17ef823bc54f934eb7da0882edb6599e3321d7477c8fe6caf0efebe87f4b56bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03602",
    "kind": "arxiv",
    "version": 2
  }
}