Pith Number

pith:YLGAVC2R

pith:2009:YLGAVC2RADGW5SM74AVCZMI6F5

not attested not anchored not stored refs pending

On the growth of nonuniform lattices in pinched negatively curved manifolds

Andrea Sambusetti, Fran\c{c}oise Dal'Bo (IRMAR), Jean-Claude Picaud (LMPT), Marc Peign\'e (LMPT)

arxiv:0902.2315 v1 · 2009-02-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLGAVC2RADGW5SM74AVCZMI6F5}

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	2026-05-17T23:39:42.646631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cc0a8b5100cd6ec99fe02a2cb11e2f726938aea927ebb1a07020b54ab8fe85

Aliases

arxiv: 0902.2315 · arxiv_version: 0902.2315v1 · doi: 10.48550/arxiv.0902.2315 · pith_short_12: YLGAVC2RADGW · pith_short_16: YLGAVC2RADGW5SM7 · pith_short_8: YLGAVC2R

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/YLGAVC2RADGW5SM74AVCZMI6F5 \
  | 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: c2cc0a8b5100cd6ec99fe02a2cb11e2f726938aea927ebb1a07020b54ab8fe85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692207050b7ccde05c95f0d9c4b9fccfb4032f281011fd14c9c8fd467135cff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-02-13T13:57:40Z",
    "title_canon_sha256": "7aaac74030460ddfda404f737608cd9b489eab48445b982613160deacf2bdc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2315",
    "kind": "arxiv",
    "version": 1
  }
}