Pith Number

pith:VR4V3EVL

pith:2012:VR4V3EVLDKYSRNDBI3OKIDFS3C

not attested not anchored not stored refs pending

Dimension des fibres de Springer affines pour les groupes

Alexis Bouthier

arxiv:1203.0975 v3 · 2012-03-05 · math.AG · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR4V3EVLDKYSRNDBI3OKIDFS3C}

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	2026-05-18T02:43:37.235535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac795d92ab1ab128b46146dca40cb2d8998581ac03158c394134b4e443da8cb4

Aliases

arxiv: 1203.0975 · arxiv_version: 1203.0975v3 · doi: 10.48550/arxiv.1203.0975 · pith_short_12: VR4V3EVLDKYS · pith_short_16: VR4V3EVLDKYSRNDB · pith_short_8: VR4V3EVL

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/VR4V3EVLDKYSRNDBI3OKIDFS3C \
  | 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: ac795d92ab1ab128b46146dca40cb2d8998581ac03158c394134b4e443da8cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f59fc391e1acefb64457b4bc7b9a8c332587623ba12ba09a5afad50a223f76",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-05T17:20:57Z",
    "title_canon_sha256": "be4e897dddd0371db71ecb380656fb1c32968c9078fd29d29e119c5a130cff1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0975",
    "kind": "arxiv",
    "version": 3
  }
}