Pith Number

pith:SFZNGOTA

pith:2012:SFZNGOTANGZZCINF2O7RKUNNSO

not attested not anchored not stored refs pending

Adele residue symbol and Tate's central extension for multiloop Lie algebras

Oliver Braunling

arxiv:1206.2025 v3 · 2012-06-10 · 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{SFZNGOTANGZZCINF2O7RKUNNSO}

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	2026-05-18T01:22:26.575668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9172d33a6069b39121a5d3bf1551ad93bd34739a4d23f89419a6e1414b74f56c

Aliases

arxiv: 1206.2025 · arxiv_version: 1206.2025v3 · doi: 10.48550/arxiv.1206.2025 · pith_short_12: SFZNGOTANGZZ · pith_short_16: SFZNGOTANGZZCINF · pith_short_8: SFZNGOTA

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/SFZNGOTANGZZCINF2O7RKUNNSO \
  | 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: 9172d33a6069b39121a5d3bf1551ad93bd34739a4d23f89419a6e1414b74f56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611dda2276472ca2d065cb09e2211dce00ed39738b366cbe2ccf2b97743f5391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-10T13:00:16Z",
    "title_canon_sha256": "5500e749afec5352981cb2990a5b1b8115fda93f101cf7fd20bcde13f6065ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2025",
    "kind": "arxiv",
    "version": 3
  }
}