Pith Number

pith:H3U2VTK3

pith:2016:H3U2VTK3N4K7SI56UITP74WIHK

not attested not anchored not stored refs pending

Cross products, invariants, and centralizers

Alberto Elduque, Georgia Benkart

arxiv:1606.07588 v1 · 2016-06-24 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3U2VTK3N4K7SI56UITP74WIHK}

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	2026-05-18T00:45:06.499184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee9aacd5b6f15f923bea226fff2c83a8a45f0971a5994ff29879025a2c6e568

Aliases

arxiv: 1606.07588 · arxiv_version: 1606.07588v1 · doi: 10.48550/arxiv.1606.07588 · pith_short_12: H3U2VTK3N4K7 · pith_short_16: H3U2VTK3N4K7SI56 · pith_short_8: H3U2VTK3

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/H3U2VTK3N4K7SI56UITP74WIHK \
  | 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: 3ee9aacd5b6f15f923bea226fff2c83a8a45f0971a5994ff29879025a2c6e568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b137255f59778a3abff87a739b5e33f9da1dfeac7002189ce47eced393b8266",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-24T07:51:06Z",
    "title_canon_sha256": "c72118f1fca17631477fdca00a41dc7d8c11e5e30502cf0aaef86b7734e2a3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07588",
    "kind": "arxiv",
    "version": 1
  }
}