Pith Number

pith:N5M7HZPC

pith:2010:N5M7HZPCNBYAQ7JEAT5HYAI3AR

not attested not anchored not stored refs pending

Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics

Vladimir V. Kisil

arxiv:1005.5057 v3 · 2010-05-27 · quant-ph · math-ph · math.MP · 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{N5M7HZPCNBYAQ7JEAT5HYAI3AR}

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	2026-05-18T02:23:55.909066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f59f3e5e26870087d2404fa7c011b0478fb21b2adb128982cd8d0151c3a4090

Aliases

arxiv: 1005.5057 · arxiv_version: 1005.5057v3 · doi: 10.48550/arxiv.1005.5057 · pith_short_12: N5M7HZPCNBYA · pith_short_16: N5M7HZPCNBYAQ7JE · pith_short_8: N5M7HZPC

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/N5M7HZPCNBYAQ7JEAT5HYAI3AR \
  | 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: 6f59f3e5e26870087d2404fa7c011b0478fb21b2adb128982cd8d0151c3a4090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aab2da8573e4081557402ccbf04d07333ff1d43d52925764fd5f44fa6a8da56",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-27T13:07:56Z",
    "title_canon_sha256": "8bd28325719d8632b3900c2e36ee210a2766164bb0cb2fe9b29f783a5a5e7c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5057",
    "kind": "arxiv",
    "version": 3
  }
}