Pith Number

pith:TNYP4BZK

pith:2011:TNYP4BZKI5DY2RBYSUTNJFT6NP

not attested not anchored not stored refs pending

On metrically complete Bruhat-Tits buildings

Benjamin Martin, G\"unter F. Steinke, Jeroen Schillewaert, Koen Struyve

arxiv:1108.0845 v3 · 2011-08-03 · 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{TNYP4BZKI5DY2RBYSUTNJFT6NP}

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	2026-05-18T04:07:42.966985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b70fe072a47478d44389526d4967e6be7d071ed70cf233fb74f3c5913f03ca2

Aliases

arxiv: 1108.0845 · arxiv_version: 1108.0845v3 · doi: 10.48550/arxiv.1108.0845 · pith_short_12: TNYP4BZKI5DY · pith_short_16: TNYP4BZKI5DY2RBY · pith_short_8: TNYP4BZK

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/TNYP4BZKI5DY2RBYSUTNJFT6NP \
  | 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: 9b70fe072a47478d44389526d4967e6be7d071ed70cf233fb74f3c5913f03ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cc5e85a6705fdcabc5c9f8cc0d97db0e99a07aa5481bf010dcd786eeb5fa84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-08-03T14:01:18Z",
    "title_canon_sha256": "0cbf9e2fdf01df28cf01936310ffb00c03972724c21c31b6499814da2212ed3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0845",
    "kind": "arxiv",
    "version": 3
  }
}