Pith Number

pith:6JV6NS5X

pith:2008:6JV6NS5XXQRMNTJVC2Z57X5FDZ

not attested not anchored not stored refs pending

Scott and Swarup's regular neighbourhood as a tree of cylinders

Gilbert Levitt, Vincent Guirardel

arxiv:0811.2389 v1 · 2008-11-14 · 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{6JV6NS5XXQRMNTJVC2Z57X5FDZ}

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	2026-05-17T23:44:05.075293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26be6cbb7bc22c6cd3516b3dfdfa51e536b2e6bcdc5d5cbf97a7c9f7efbd4bb

Aliases

arxiv: 0811.2389 · arxiv_version: 0811.2389v1 · doi: 10.48550/arxiv.0811.2389 · pith_short_12: 6JV6NS5XXQRM · pith_short_16: 6JV6NS5XXQRMNTJV · pith_short_8: 6JV6NS5X

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/6JV6NS5XXQRMNTJVC2Z57X5FDZ \
  | 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: f26be6cbb7bc22c6cd3516b3dfdfa51e536b2e6bcdc5d5cbf97a7c9f7efbd4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86154a0cf430f819704f20c9d2186e148b5df82be2bb2850ce03d54dd2e86c1c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-14T17:25:38Z",
    "title_canon_sha256": "d849174f559f44262d2a8b6d7e5f82c6eec3ddcabd072768bd8a41223a0e2461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2389",
    "kind": "arxiv",
    "version": 1
  }
}