Pith Number

pith:LHT4IMWK

pith:2015:LHT4IMWKVJHJ3FKSXTDVADUNUC

not attested not anchored not stored refs pending

Local-to-global rigidity of Bruhat-Tits buildings

Mikael de la Salle, Romain Tessera

arxiv:1512.02775 v1 · 2015-12-09 · math.GR · 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{LHT4IMWKVJHJ3FKSXTDVADUNUC}

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	2026-05-18T00:33:44.256201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e7c432caaa4e9d9552bcc7500e8da08e82971615e464886f1ea9ca7dc66353

Aliases

arxiv: 1512.02775 · arxiv_version: 1512.02775v1 · doi: 10.48550/arxiv.1512.02775 · pith_short_12: LHT4IMWKVJHJ · pith_short_16: LHT4IMWKVJHJ3FKS · pith_short_8: LHT4IMWK

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/LHT4IMWKVJHJ3FKSXTDVADUNUC \
  | 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: 59e7c432caaa4e9d9552bcc7500e8da08e82971615e464886f1ea9ca7dc66353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383216df56287c14b9caef6677241effb73f64be5e8c8f7010c797d49863139f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-09T07:42:15Z",
    "title_canon_sha256": "47be224821c8b834a9834b5732ac51b2a59f3fd1b1f51dd10779f615cb6d8a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02775",
    "kind": "arxiv",
    "version": 1
  }
}