Pith Number

pith:F4FI5M33

pith:2013:F4FI5M33IN4N5CCVQBCUGPV7OC

not attested not anchored not stored refs pending

Vertex finiteness for splittings of relatively hyperbolic groups

Gilbert Levitt, Vincent Guirardel

arxiv:1311.2835 v2 · 2013-11-12 · math.GR · 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{F4FI5M33IN4N5CCVQBCUGPV7OC}

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	2026-05-17T23:44:05.009541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0a8eb37b4378de88558045433ebf70a8e1dea9046dffded479564743eba5c0

Aliases

arxiv: 1311.2835 · arxiv_version: 1311.2835v2 · doi: 10.48550/arxiv.1311.2835 · pith_short_12: F4FI5M33IN4N · pith_short_16: F4FI5M33IN4N5CCV · pith_short_8: F4FI5M33

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/F4FI5M33IN4N5CCVQBCUGPV7OC \
  | 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: 2f0a8eb37b4378de88558045433ebf70a8e1dea9046dffded479564743eba5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104982060b4e026d29e036398f9b1d39bff307760536e9714a997505ae5dd35b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-12T16:50:26Z",
    "title_canon_sha256": "d9c9113631250bd54cf52c50528b38955ab3af278f753f23a492deaaffe7de3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2835",
    "kind": "arxiv",
    "version": 2
  }
}