Pith Number

pith:J7ZFZ7MS

pith:2016:J7ZFZ7MSVVTAVDJ6MXFIEFCZHX

not attested not anchored not stored refs pending

Varieties of $G_r$-summands in Rational $G$-modules

Paul Sobaje

arxiv:1605.06330 v1 · 2016-05-20 · 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{J7ZFZ7MSVVTAVDJ6MXFIEFCZHX}

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	2026-05-18T01:14:19.210524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff25cfd92ad660a8d3e65ca8214593df7b96b08820b602d087a73a31af2812b

Aliases

arxiv: 1605.06330 · arxiv_version: 1605.06330v1 · doi: 10.48550/arxiv.1605.06330 · pith_short_12: J7ZFZ7MSVVTA · pith_short_16: J7ZFZ7MSVVTAVDJ6 · pith_short_8: J7ZFZ7MS

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/J7ZFZ7MSVVTAVDJ6MXFIEFCZHX \
  | 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: 4ff25cfd92ad660a8d3e65ca8214593df7b96b08820b602d087a73a31af2812b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340d64d276fd73837f88dd7732f6d8be1a49d41ad60ac1678e4db7bfe06afb96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-20T12:47:42Z",
    "title_canon_sha256": "0fdbec190666a9c882fc8709871837321c52bd42bdf11a99471c90bfff81ad39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06330",
    "kind": "arxiv",
    "version": 1
  }
}