Pith Number

pith:PIQKMVVP

pith:2009:PIQKMVVPPOYB3X46CXUROXEUGW

not attested not anchored not stored refs pending

Symmetry Reduction of Quasi-Free States

C. G. Torre

arxiv:0901.4293 v1 · 2009-01-27 · math-ph · gr-qc · hep-th · 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{PIQKMVVPPOYB3X46CXUROXEUGW}

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	2026-05-18T02:35:06.173846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a20a656af7bb01ddf9e15e9175c9435aa2d48d0cb5ec26f3b7f65f7c08390df

Aliases

arxiv: 0901.4293 · arxiv_version: 0901.4293v1 · doi: 10.48550/arxiv.0901.4293 · pith_short_12: PIQKMVVPPOYB · pith_short_16: PIQKMVVPPOYB3X46 · pith_short_8: PIQKMVVP

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/PIQKMVVPPOYB3X46CXUROXEUGW \
  | 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: 7a20a656af7bb01ddf9e15e9175c9435aa2d48d0cb5ec26f3b7f65f7c08390df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a315cf2cac1bb4966c155eb367a5685bc8049661ff4c449d3f79b6cbda47a038",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-27T17:36:34Z",
    "title_canon_sha256": "b9f36ee22188bc28c143014e31f0bf12556df4fc5b07357130d43f4ea1434091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4293",
    "kind": "arxiv",
    "version": 1
  }
}