Pith Number

pith:KVE5SZIW

pith:2006:KVE5SZIWEJ7U3GJP65AHHEBTF7

not attested not anchored not stored refs pending

Symmetries, group actions, and entanglement

Giuseppe Marmo, Janusz Grabowski, Marek Kus

arxiv:math-ph/0603048 v1 · 2006-03-20 · math-ph · math.DG · 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{KVE5SZIWEJ7U3GJP65AHHEBTF7}

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	2026-05-18T04:07:54.480233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5549d96516227f4d992ff7407390332ffa3066e23a259c55343779b442d95c12

Aliases

arxiv: math-ph/0603048 · arxiv_version: math-ph/0603048v1 · doi: 10.48550/arxiv.math-ph/0603048 · pith_short_12: KVE5SZIWEJ7U · pith_short_16: KVE5SZIWEJ7U3GJP · pith_short_8: KVE5SZIW

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/KVE5SZIWEJ7U3GJP65AHHEBTF7 \
  | 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: 5549d96516227f4d992ff7407390332ffa3066e23a259c55343779b442d95c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b81a47d158c4bd78c0f642ac7f6f9e15f85811596ced64e8eb7ac31ed07983",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-20T13:23:38Z",
    "title_canon_sha256": "fb016fe651f4bfec41003294d0bff5fa8fb2b1296ac7c0c14b48d0a0358eda85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603048",
    "kind": "arxiv",
    "version": 1
  }
}