Pith Number

pith:4JPBMQ3B

pith:2014:4JPBMQ3BGW66LSLUNP3MOOSNDY

not attested not anchored not stored refs pending

On maximal tori of algebraic groups of type G_2

Constantin Beli, Philippe Gille, Ting-Yu Lee

arxiv:1411.6808 v4 · 2014-11-25 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JPBMQ3BGW66LSLUNP3MOOSNDY}

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	2026-05-18T02:28:22.574851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25e16436135bde5c9746bf6c73a4d1e1074815f2026a68a6275129c580593ad

Aliases

arxiv: 1411.6808 · arxiv_version: 1411.6808v4 · doi: 10.48550/arxiv.1411.6808 · pith_short_12: 4JPBMQ3BGW66 · pith_short_16: 4JPBMQ3BGW66LSLU · pith_short_8: 4JPBMQ3B

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/4JPBMQ3BGW66LSLUNP3MOOSNDY \
  | 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: e25e16436135bde5c9746bf6c73a4d1e1074815f2026a68a6275129c580593ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfeef2596c5bd8224bed31993e44f4f3af1eb6e4252347fc7e12b68f23f4aa34",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-25T10:48:23Z",
    "title_canon_sha256": "9246b925f318850d9c437aba54e9e4a03b8c433d974f0a0992ef381537c1715a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6808",
    "kind": "arxiv",
    "version": 4
  }
}