Pith Number

pith:57XAWWDQ

pith:2008:57XAWWDQIBDYV7K7U7UYSTJCQN

not attested not anchored not stored refs pending

Lowest dimensional example on non-universality of generalized In\"on\"u-Wigner contractions

Dmytro R. Popovych, Roman O. Popovych

arxiv:0812.1705 v3 · 2008-12-09 · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57XAWWDQIBDYV7K7U7UYSTJCQN}

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	2026-05-18T04:37:34.428429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efee0b587040478afd5fa7e9894d22835ce6fd26e69f1f6151ee5654bed20066

Aliases

arxiv: 0812.1705 · arxiv_version: 0812.1705v3 · doi: 10.48550/arxiv.0812.1705 · pith_short_12: 57XAWWDQIBDY · pith_short_16: 57XAWWDQIBDYV7K7 · pith_short_8: 57XAWWDQ

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/57XAWWDQIBDYV7K7U7UYSTJCQN \
  | 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: efee0b587040478afd5fa7e9894d22835ce6fd26e69f1f6151ee5654bed20066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c106cee4cf0d3d8f596ac131f125bfddf7ecafa3f64a20012b3148acfc4cbb3f",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-09T15:21:02Z",
    "title_canon_sha256": "2a85095bd1f8a0104c55309b2ecfe7e1afaea7ad2b4fbcb5973784bd84069721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1705",
    "kind": "arxiv",
    "version": 3
  }
}