Pith Number

pith:GSFXFJGK

pith:2007:GSFXFJGKVSCFUJ2NQDNPXFAYYI

not attested not anchored not stored refs pending

Cluster Complexes via Semi-Invariants

Gordana Todorov, Jerzy Weyman, Kent Orr, Kiyoshi Igusa

arxiv:0708.0798 v2 · 2007-08-06 · math.RT · 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{GSFXFJGKVSCFUJ2NQDNPXFAYYI}

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	2026-05-18T03:02:45.141132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348b72a4caac845a274d80dafb9418c21ff3a79c1a13fa5673ec5d839fe95671

Aliases

arxiv: 0708.0798 · arxiv_version: 0708.0798v2 · doi: 10.48550/arxiv.0708.0798 · pith_short_12: GSFXFJGKVSCF · pith_short_16: GSFXFJGKVSCFUJ2N · pith_short_8: GSFXFJGK

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/GSFXFJGKVSCFUJ2NQDNPXFAYYI \
  | 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: 348b72a4caac845a274d80dafb9418c21ff3a79c1a13fa5673ec5d839fe95671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c171b89f25ac56552f1e55139f7883092affad2ca115a640c701b3259e01915e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-08-06T17:13:08Z",
    "title_canon_sha256": "1dd1acf55af8d6e92c5a63e647b5a6548af00eeff8229be37d63ce1eb89ad7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0798",
    "kind": "arxiv",
    "version": 2
  }
}