Pith Number

pith:OPZZO665

pith:2012:OPZZO6656T6GKFRIXYZLSFEQJR

not attested not anchored not stored refs pending

Ideals in Deligne's category Rep(GL_\delta)

Jonathan Comes

arxiv:1201.5669 v2 · 2012-01-26 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPZZO6656T6GKFRIXYZLSFEQJR}

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	2026-05-18T02:45:48.866393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f3977bddf4fc651628be32b914904c70c53a7f3d65aee78ff27030b9d4a059

Aliases

arxiv: 1201.5669 · arxiv_version: 1201.5669v2 · doi: 10.48550/arxiv.1201.5669 · pith_short_12: OPZZO6656T6G · pith_short_16: OPZZO6656T6GKFRI · pith_short_8: OPZZO665

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/OPZZO6656T6GKFRIXYZLSFEQJR \
  | 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: 73f3977bddf4fc651628be32b914904c70c53a7f3d65aee78ff27030b9d4a059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6037010a7a9a20e1611d4459761a97f32b229d09a725a8543d5a9c41d4d42ef",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-26T22:51:55Z",
    "title_canon_sha256": "a3e5d75164e323ab06ef81b8d9d97318f0df0eff246ef395236abe68c3d8957b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5669",
    "kind": "arxiv",
    "version": 2
  }
}