Pith Number

pith:IFFXN3LD

pith:2011:IFFXN3LDQDUJIT43EE25HJYKJ4

not attested not anchored not stored refs pending

Orthogonal representations of affine group schemes and twists of symmetric bundles

Baptiste Morin, Martin Taylor, Philippe Cassou-Nogu\`es, Ted Chinburg

arxiv:1111.1590 v1 · 2011-11-07 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFFXN3LDQDUJIT43EE25HJYKJ4}

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	2026-05-18T04:09:25.757052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414b76ed6380e8944f9b2135d3a70a4f265c2ebe30852ec589ea0f675266f228

Aliases

arxiv: 1111.1590 · arxiv_version: 1111.1590v1 · doi: 10.48550/arxiv.1111.1590 · pith_short_12: IFFXN3LDQDUJ · pith_short_16: IFFXN3LDQDUJIT43 · pith_short_8: IFFXN3LD

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/IFFXN3LDQDUJIT43EE25HJYKJ4 \
  | 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: 414b76ed6380e8944f9b2135d3a70a4f265c2ebe30852ec589ea0f675266f228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21bc98992ba42a64b0f5b86fbb686a93bcf8374303a790a81ba61b7ab8f5aa71",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-07T14:23:19Z",
    "title_canon_sha256": "80ecf373fd209291c96556834290b05cdaeaeef018c54a9eae48e7dd419c9eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1590",
    "kind": "arxiv",
    "version": 1
  }
}