Pith Number

pith:4X5ZGKGF

pith:2016:4X5ZGKGF3JGTOOR6LBCVKX6ASE

not attested not anchored not stored refs pending

On lengths on semisimple groups

Yves de Cornulier

arxiv:1612.01001 v1 · 2016-12-03 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X5ZGKGF3JGTOOR6LBCVKX6ASE}

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	2026-05-18T00:55:53.616373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fb9328c5da4d373a3e5845555fc09105e38e4e55c7da14f3010e3eba74f884

Aliases

arxiv: 1612.01001 · arxiv_version: 1612.01001v1 · doi: 10.48550/arxiv.1612.01001 · pith_short_12: 4X5ZGKGF3JGT · pith_short_16: 4X5ZGKGF3JGTOOR6 · pith_short_8: 4X5ZGKGF

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/4X5ZGKGF3JGTOOR6LBCVKX6ASE \
  | 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: e5fb9328c5da4d373a3e5845555fc09105e38e4e55c7da14f3010e3eba74f884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd919e31d696b86e4e627a405f2dfee8aabad3ed857c7af74102698ce36e8ccf",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-03T18:34:30Z",
    "title_canon_sha256": "99f4ee1342b30eaae46339f5f58c6a074a11c23d1deeccef18a3b99ef88986b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01001",
    "kind": "arxiv",
    "version": 1
  }
}