Pith Number

pith:PQTC3YWU

pith:2010:PQTC3YWUU7EWC3BYJZ4AVNIAWB

not attested not anchored not stored refs pending

Removing chambers in Bruhat-Tits buildings

Mikael Pichot, Sylvain Barre

arxiv:1003.4614 v4 · 2010-03-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQTC3YWUU7EWC3BYJZ4AVNIAWB}

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	2026-05-18T03:41:11.312265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c262de2d4a7c9616c384e780ab500b07963374ca17cbfc62b59ef20d1c4b18d

Aliases

arxiv: 1003.4614 · arxiv_version: 1003.4614v4 · doi: 10.48550/arxiv.1003.4614 · pith_short_12: PQTC3YWUU7EW · pith_short_16: PQTC3YWUU7EWC3BY · pith_short_8: PQTC3YWU

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/PQTC3YWUU7EWC3BYJZ4AVNIAWB \
  | 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: 7c262de2d4a7c9616c384e780ab500b07963374ca17cbfc62b59ef20d1c4b18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d560e99d9f7d20053988f69d09afed0c8fa35a2cfdf81ec2bc839f74d92997",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-24T11:11:14Z",
    "title_canon_sha256": "0a2392eafe4a33295468e327a00918ca1989c37a365e00302a0cb1e8397071d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4614",
    "kind": "arxiv",
    "version": 4
  }
}