Pith Number

pith:BKPEF5MO

pith:2014:BKPEF5MOI7JVCUW2X6TOAVSPSJ

not attested not anchored not stored refs pending

Sur le spectre et la topologie des vari\'et\'es hyperboliques de congruence : les cas complexe et quaternionien

Laurent Clozel, Nicolas Bergeron

arxiv:1406.3765 v1 · 2014-06-14 · math.NT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKPEF5MOI7JVCUW2X6TOAVSPSJ}

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	2026-05-18T02:49:39.769670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a9e42f58e47d35152dabfa6e0564f924b77163ace64affea55ae7a719d712cc

Aliases

arxiv: 1406.3765 · arxiv_version: 1406.3765v1 · doi: 10.48550/arxiv.1406.3765 · pith_short_12: BKPEF5MOI7JV · pith_short_16: BKPEF5MOI7JVCUW2 · pith_short_8: BKPEF5MO

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/BKPEF5MOI7JVCUW2X6TOAVSPSJ \
  | 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: 0a9e42f58e47d35152dabfa6e0564f924b77163ace64affea55ae7a719d712cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08553e3bf75a469e6245241893ec55bb307c919d45a2f0c416194463f262ac72",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-14T19:58:16Z",
    "title_canon_sha256": "b71f9e5c2c9b4b22419021bbc8980f4827bcf980a9dcfc9a4de3a96506db034a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3765",
    "kind": "arxiv",
    "version": 1
  }
}