Pith Number

pith:CKHT6UXJ

pith:2004:CKHT6UXJULBDDDOCAJKQXGBRZX

not attested not anchored not stored refs pending

Semidirect product reduction theory: a user's guide

H. S. Bhat

arxiv:math-ph/0409015 v1 · 2004-09-07 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHT6UXJULBDDDOCAJKQXGBRZX}

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	2026-07-04T14:34:01.981058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128f3f52e9a2c2318dc202550b9831cdcc7cc7e713d5bc702188dac95710d714

Aliases

arxiv: math-ph/0409015 · arxiv_version: math-ph/0409015v1 · doi: 10.48550/arxiv.math-ph/0409015 · pith_short_12: CKHT6UXJULBD · pith_short_16: CKHT6UXJULBDDDOC · pith_short_8: CKHT6UXJ

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/CKHT6UXJULBDDDOCAJKQXGBRZX \
  | 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: 128f3f52e9a2c2318dc202550b9831cdcc7cc7e713d5bc702188dac95710d714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f78657441a83597efa5ab67442486a001d9a119c50fd03eb2312bc0814ec173",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-07T21:23:53Z",
    "title_canon_sha256": "7bc9b0bb04ea588235b768267ad57845757bf22a53ed6a967db0e9a3e833a0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409015",
    "kind": "arxiv",
    "version": 1
  }
}