Pith Number

pith:EIIFKXNB

pith:2009:EIIFKXNBVH432LUB3U2UBIRILE

not attested not anchored not stored refs pending

Bruhat-Tits theory from Berkovich's point of view. II. Satake compactifications

Amaury Thuillier (ICJ), Annette Werner, Bertrand Remy (ICJ)

arxiv:0907.3264 v1 · 2009-07-19 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIIFKXNBVH432LUB3U2UBIRILE}

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	2026-05-18T03:44:13.861936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2210555da1a9f9bd2e81dd3540a228592dd08f947231d3d519fb285310cf7995

Aliases

arxiv: 0907.3264 · arxiv_version: 0907.3264v1 · doi: 10.48550/arxiv.0907.3264 · pith_short_12: EIIFKXNBVH43 · pith_short_16: EIIFKXNBVH432LUB · pith_short_8: EIIFKXNB

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/EIIFKXNBVH432LUB3U2UBIRILE \
  | 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: 2210555da1a9f9bd2e81dd3540a228592dd08f947231d3d519fb285310cf7995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb022876045f913edb279dacad51a48a87decfe06afc1860a41627522138439e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-07-19T06:29:54Z",
    "title_canon_sha256": "08d3dfdbfcece396b9632e3b101d7bb7baa60d6e83acefcbad71bf36c2921f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3264",
    "kind": "arxiv",
    "version": 1
  }
}