Pith Number

pith:VEOZFIDZ

pith:2009:VEOZFIDZHIFHAKL4HZ5IOGMMQT

not attested not anchored not stored refs pending

Continuous Spectrum of Automorphism Groups and the Infraparticle Problem

Wojciech Dybalski

arxiv:0912.2013 v2 · 2009-12-10 · math-ph · hep-th · math.FA · 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{VEOZFIDZHIFHAKL4HZ5IOGMMQT}

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	2026-05-18T04:19:43.881405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91d92a0793a0a70297c3e7a87198c84c02b4ecb971c0d444689bef397e466d1

Aliases

arxiv: 0912.2013 · arxiv_version: 0912.2013v2 · doi: 10.48550/arxiv.0912.2013 · pith_short_12: VEOZFIDZHIFH · pith_short_16: VEOZFIDZHIFHAKL4 · pith_short_8: VEOZFIDZ

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/VEOZFIDZHIFHAKL4HZ5IOGMMQT \
  | 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: a91d92a0793a0a70297c3e7a87198c84c02b4ecb971c0d444689bef397e466d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "278706ada0ca0a21ee4318f921423ef2b0de3576cdbbc2e859be0622deaa0d80",
    "cross_cats_sorted": [
      "hep-th",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-10T14:59:19Z",
    "title_canon_sha256": "a6a8b6ef53f8f5f5597a35756a011f27b1c26d36a3f24b3ec300a8cd87eb2ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2013",
    "kind": "arxiv",
    "version": 2
  }
}