Pith Number

pith:EDJ7RI6A

pith:2012:EDJ7RI6AAY4KDIIJJONEWO3WVX

not attested not anchored not stored refs pending

ad-Nilpotent positively-graded Borel module subalgebras

Adam Sandler, Tim Ridenour

arxiv:1209.3832 v2 · 2012-09-18 · 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{EDJ7RI6AAY4KDIIJJONEWO3WVX}

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	2026-05-18T03:45:12.002251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d3f8a3c00638a1a1094b9a4b3b76add0b7da5b8b092fbf960b0f5925cbe0ea

Aliases

arxiv: 1209.3832 · arxiv_version: 1209.3832v2 · doi: 10.48550/arxiv.1209.3832 · pith_short_12: EDJ7RI6AAY4K · pith_short_16: EDJ7RI6AAY4KDIIJ · pith_short_8: EDJ7RI6A

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/EDJ7RI6AAY4KDIIJJONEWO3WVX \
  | 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: 20d3f8a3c00638a1a1094b9a4b3b76add0b7da5b8b092fbf960b0f5925cbe0ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdc66eb1540c5f75229630ab8a645b42ec45d21929768afa4db14be07253737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-18T02:49:54Z",
    "title_canon_sha256": "fb48c594f7bfc43bae256e8b4300936c358e54fea7b2f88aba05810c40798f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3832",
    "kind": "arxiv",
    "version": 2
  }
}