Pith Number

pith:JEQQQ4IO

pith:2009:JEQQQ4IOIYS5IQAP3W5ZQDCTXS

not attested not anchored not stored refs pending

Twin building lattices do not have asymptotic cut-points

Francois Dahmani, Pierre-Emmanuel Caprace, Vincent Guirardel

arxiv:0910.2656 v1 · 2009-10-14 · 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{JEQQQ4IOIYS5IQAP3W5ZQDCTXS}

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	2026-05-18T03:27:43.104860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492108710e4625d4400fddbb980c53bca7dd3a36d5ac91fdec537146c00d212f

Aliases

arxiv: 0910.2656 · arxiv_version: 0910.2656v1 · doi: 10.48550/arxiv.0910.2656 · pith_short_12: JEQQQ4IOIYS5 · pith_short_16: JEQQQ4IOIYS5IQAP · pith_short_8: JEQQQ4IO

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/JEQQQ4IOIYS5IQAP3W5ZQDCTXS \
  | 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: 492108710e4625d4400fddbb980c53bca7dd3a36d5ac91fdec537146c00d212f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae6a52d2ad9d7fe03c3190f6c77f6691bcfec8c22f19f80c31787edf40fbc14",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-14T16:01:41Z",
    "title_canon_sha256": "cf876505b6d91f90e948d526d217f22a371c03cc6a5f70e8257b4afa5870c572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2656",
    "kind": "arxiv",
    "version": 1
  }
}