Pith Number

pith:FM274AFZ

pith:2013:FM274AFZNWQHJEQKIG4Y5ZCK5V

not attested not anchored not stored refs pending

Gelfand pairs and strong transitivity for Euclidean buildings

Corina Ciobotaru, Pierre-Emmanuel Caprace

arxiv:1304.6210 v2 · 2013-04-23 · math.RT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM274AFZNWQHJEQKIG4Y5ZCK5V}

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	2026-05-18T02:04:11.664504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b35fe00b96da074920a41b98ee44aed4810792a4758bf199ce0890516df1a63

Aliases

arxiv: 1304.6210 · arxiv_version: 1304.6210v2 · doi: 10.48550/arxiv.1304.6210 · pith_short_12: FM274AFZNWQH · pith_short_16: FM274AFZNWQHJEQK · pith_short_8: FM274AFZ

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/FM274AFZNWQHJEQKIG4Y5ZCK5V \
  | 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: 2b35fe00b96da074920a41b98ee44aed4810792a4758bf199ce0890516df1a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8dc4f91fb7a4d7ac3c90d7d28ad87272e395eda0286ca06d2e6965a72380598",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-23T09:09:47Z",
    "title_canon_sha256": "e32879f326d8efdda564db166d758dfa95076dc2fe31b45c3039571e0105a525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6210",
    "kind": "arxiv",
    "version": 2
  }
}