Pith Number

pith:Q3XHJUP3

pith:2021:Q3XHJUP3LQ3E6JB2C3BHKESFXZ

not attested not anchored not stored refs pending

Martin compactifications of affine buildings

Bartosz Trojan, Bertrand R\'emy

arxiv:2105.14807 v2 · 2021-05-31 · math.GR · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3XHJUP3LQ3E6JB2C3BHKESFXZ}

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.

Cited by

1 paper in Pith

The geometry of triples of antipodal ideal chambers of affine buildings

Receipt and verification

First computed	2026-07-05T11:34:39.054017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ee74d1fb5c364f243a16c2751245be6507410a0ca3b633644b6ea958454ed7

Aliases

arxiv: 2105.14807 · arxiv_version: 2105.14807v2 · doi: 10.48550/arxiv.2105.14807 · pith_short_12: Q3XHJUP3LQ3E · pith_short_16: Q3XHJUP3LQ3E6JB2 · pith_short_8: Q3XHJUP3

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/Q3XHJUP3LQ3E6JB2C3BHKESFXZ \
  | 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: 86ee74d1fb5c364f243a16c2751245be6507410a0ca3b633644b6ea958454ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb629a0df3e53c1a747c7f1bc003d1d124139490a36d63d0c7f96d442e0e5e8a",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-05-31T09:08:20Z",
    "title_canon_sha256": "ad210a855562f196ef7c4436c3a7e9cd2f4e50ce1fa1fe8bbf3f30d307938cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14807",
    "kind": "arxiv",
    "version": 2
  }
}