Pith Number

pith:SPEARHNM

pith:2007:SPEARHNM573BMDHY6TVR572H6W

not attested not anchored not stored refs pending

The Schrodinger model for the minimal representation of the indefinite orthogonal group O(p, q)

Gen Mano, Toshiyuki Kobayashi

arxiv:0712.1769 v2 · 2007-12-11 · math.RT · math-ph · math.AP · 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{SPEARHNM573BMDHY6TVR572H6W}

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	2026-05-18T04:19:33.677361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c8089daceff6160cf8f4eb1eff47f5b6508062f0199c2c87b6dd4c3aca7395

Aliases

arxiv: 0712.1769 · arxiv_version: 0712.1769v2 · doi: 10.48550/arxiv.0712.1769 · pith_short_12: SPEARHNM573B · pith_short_16: SPEARHNM573BMDHY · pith_short_8: SPEARHNM

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/SPEARHNM573BMDHY6TVR572H6W \
  | 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: 93c8089daceff6160cf8f4eb1eff47f5b6508062f0199c2c87b6dd4c3aca7395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad879e9bb6f198922084e69f8a9b4cb5cb14f2d8bea36f1cee4aebf75b940b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-12-11T18:22:13Z",
    "title_canon_sha256": "2b851ac260bc4914e3d2d0b047fcccc1b5c9978e9f198d2dc70469b3ec5f3e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1769",
    "kind": "arxiv",
    "version": 2
  }
}