Pith Number

pith:TOHL53TW

pith:2012:TOHL53TW4AQ7OW34CHA3SZ4HE4

not attested not anchored not stored refs pending

Tempered Representations and Nilpotent Orbits

Benjamin Harris

arxiv:1209.4123 v2 · 2012-09-19 · 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{TOHL53TW4AQ7OW34CHA3SZ4HE4}

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	2026-05-18T02:17:12.680399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8ebeee76e021f75b7c11c1b967872714a6ebf0e065c1528fa77a98ac6fbfcd

Aliases

arxiv: 1209.4123 · arxiv_version: 1209.4123v2 · doi: 10.48550/arxiv.1209.4123 · pith_short_12: TOHL53TW4AQ7 · pith_short_16: TOHL53TW4AQ7OW34 · pith_short_8: TOHL53TW

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/TOHL53TW4AQ7OW34CHA3SZ4HE4 \
  | 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: 9b8ebeee76e021f75b7c11c1b967872714a6ebf0e065c1528fa77a98ac6fbfcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69448d576dfda0cf58cb96f91edb002f1868f5ef58397892b1583395cfdf7526",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-19T00:00:52Z",
    "title_canon_sha256": "1afb3cb4515dd3c3c02b8e64642ea0b07d3caa2bc68791e53b9d0962e0a85ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4123",
    "kind": "arxiv",
    "version": 2
  }
}