Pith Number

pith:7KHPUYJ6

pith:2016:7KHPUYJ6PU2JL7BZNFRKGJZK25

not attested not anchored not stored refs pending

Berezin symbols on Lie groups

Benjamin Cahen, Daniel Beltita, Ingrid Beltita

arxiv:1609.06256 v1 · 2016-09-20 · 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{7KHPUYJ6PU2JL7BZNFRKGJZK25}

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	2026-05-18T01:04:16.340049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8efa613e7d3495fc396962a3272ad75103708cf01c8605b0e33156815deeec

Aliases

arxiv: 1609.06256 · arxiv_version: 1609.06256v1 · doi: 10.48550/arxiv.1609.06256 · pith_short_12: 7KHPUYJ6PU2J · pith_short_16: 7KHPUYJ6PU2JL7BZ · pith_short_8: 7KHPUYJ6

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/7KHPUYJ6PU2JL7BZNFRKGJZK25 \
  | 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: fa8efa613e7d3495fc396962a3272ad75103708cf01c8605b0e33156815deeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f80b77d87d8c8f76f6ad3f446f03f244137a5d256dc88fd0ed4104cccec677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-20T17:09:34Z",
    "title_canon_sha256": "7dfc48ea9a61c5cfe5ec23cbe1434b2253da26ebbd2677c1e6c10de446c70817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06256",
    "kind": "arxiv",
    "version": 1
  }
}