Pith Number

pith:VGKO4TON

pith:2013:VGKO4TONBPBRJT3HNZESLVLX7V

not attested not anchored not stored refs pending

Horospherical limit points of locally symmetric spaces

Dave Witte Morris, Grigori Avramidi

arxiv:1309.3554 v2 · 2013-09-13 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGKO4TONBPBRJT3HNZESLVLX7V}

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	2026-05-18T01:25:47.813925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a994ee4dcd0bc314cf676e4925d577fd5ce20849860ffd977ea2ce409b483778

Aliases

arxiv: 1309.3554 · arxiv_version: 1309.3554v2 · doi: 10.48550/arxiv.1309.3554 · pith_short_12: VGKO4TONBPBR · pith_short_16: VGKO4TONBPBRJT3H · pith_short_8: VGKO4TON

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/VGKO4TONBPBRJT3HNZESLVLX7V \
  | 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: a994ee4dcd0bc314cf676e4925d577fd5ce20849860ffd977ea2ce409b483778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c3e72bfa1671121fd4d0de78bc08071ecfde37db960f476d0ea22858cd4c2e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-13T19:53:27Z",
    "title_canon_sha256": "f034a51cf842749e0b3058e6f971b7560e02b5f9abe9a5a6e8f43e6bfce7a962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3554",
    "kind": "arxiv",
    "version": 2
  }
}