Pith Number

pith:ERKU67SN

pith:2024:ERKU67SNW3IK4PRXH4BOV5S2J6

not attested not anchored not stored refs pending

A Tits alternative for $\mathbb{R}$-buildings of type $\tilde{A}_2$

Corentin Le Bars, Jean L\'ecureux, Jeroen Schillewaert

arxiv:2411.04250 v1 · 2024-11-06 · 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{ERKU67SNW3IK4PRXH4BOV5S2J6}

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	2026-07-05T09:32:16.301868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24554f7e4db6d0ae3e373f02eaf65a4fbdbc468dc4d9728382f180ef005fac91

Aliases

arxiv: 2411.04250 · arxiv_version: 2411.04250v1 · doi: 10.48550/arxiv.2411.04250 · pith_short_12: ERKU67SNW3IK · pith_short_16: ERKU67SNW3IK4PRX · pith_short_8: ERKU67SN

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/ERKU67SNW3IK4PRXH4BOV5S2J6 \
  | 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: 24554f7e4db6d0ae3e373f02eaf65a4fbdbc468dc4d9728382f180ef005fac91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425c96298f3566fc12180376f2ce4c02a6ece0ad4ac5b8ecb96e6e5d42be3a89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-06T20:42:40Z",
    "title_canon_sha256": "6563a2794a9c94a19b7d840f2c6e4566d567f817fcb68480727f9b23d665c98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04250",
    "kind": "arxiv",
    "version": 1
  }
}