Pith Number

pith:IYOF5C2X

pith:2011:IYOF5C2X6JOHRGDI3IFIIS6YO3

not attested not anchored not stored refs pending

The image of the Lepowsky homomorphism for the group $F_4$

Alfredo Brega, Juan Tirao, Leandro Cagliero

arxiv:1107.0651 v1 · 2011-07-04 · 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{IYOF5C2X6JOHRGDI3IFIIS6YO3}

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	2026-05-18T04:18:53.644282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461c5e8b57f25c789868da0a844bd876f204de86412cd1347ead7f8c66c5fa60

Aliases

arxiv: 1107.0651 · arxiv_version: 1107.0651v1 · doi: 10.48550/arxiv.1107.0651 · pith_short_12: IYOF5C2X6JOH · pith_short_16: IYOF5C2X6JOHRGDI · pith_short_8: IYOF5C2X

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/IYOF5C2X6JOHRGDI3IFIIS6YO3 \
  | 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: 461c5e8b57f25c789868da0a844bd876f204de86412cd1347ead7f8c66c5fa60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce8452c8d5434fe68038705fd32d00dc4d2e266097c10c06714e3f9e5696246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-04T15:15:42Z",
    "title_canon_sha256": "bfff5f2962822e2b8a36eeb63d662e540f4ca80d0af5e6ecbe411b0a75d2e2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0651",
    "kind": "arxiv",
    "version": 1
  }
}