Pith Number

pith:O7UWHEYM

pith:2011:O7UWHEYM4OEMUSWULEOFZ5OUD7

not attested not anchored not stored refs pending

Harmonic analysis on Heisenberg--Clifford Lie supergroups

Alexander Alldridge, Joachim Hilgert, Martin Laubinger

arxiv:1102.4475 v1 · 2011-02-22 · 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{O7UWHEYM4OEMUSWULEOFZ5OUD7}

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	2026-05-18T03:28:06.575578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e963930ce388ca4ad4591c5cf5d41fcb9ab3156f6c660f5f186466ca6ae07d

Aliases

arxiv: 1102.4475 · arxiv_version: 1102.4475v1 · doi: 10.48550/arxiv.1102.4475 · pith_short_12: O7UWHEYM4OEM · pith_short_16: O7UWHEYM4OEMUSWU · pith_short_8: O7UWHEYM

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/O7UWHEYM4OEMUSWULEOFZ5OUD7 \
  | 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: 77e963930ce388ca4ad4591c5cf5d41fcb9ab3156f6c660f5f186466ca6ae07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359189a565068f88c34b8b0f257086075e64d37514aa16bcfe7c6bc11a3bb6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-22T11:53:48Z",
    "title_canon_sha256": "a839417f353446421c49d0e91f94e7585164e50deb82b4440748ba089702272b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4475",
    "kind": "arxiv",
    "version": 1
  }
}