Pith Number

pith:HG6VOBHU

pith:2008:HG6VOBHURJLF3DT3V24ZYJAQ2L

not attested not anchored not stored refs pending

Bers slices are Zariski dense

David Dumas, Richard P. Kent IV

arxiv:0807.4509 v2 · 2008-07-28 · 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{HG6VOBHURJLF3DT3V24ZYJAQ2L}

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	2026-05-18T02:58:11.308661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bd5704f48a565d8e7baeb99c2410d2ed8c9b7f959499d3f1f0f4f8c3716011

Aliases

arxiv: 0807.4509 · arxiv_version: 0807.4509v2 · doi: 10.48550/arxiv.0807.4509 · pith_short_12: HG6VOBHURJLF · pith_short_16: HG6VOBHURJLF3DT3 · pith_short_8: HG6VOBHU

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/HG6VOBHURJLF3DT3V24ZYJAQ2L \
  | 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: 39bd5704f48a565d8e7baeb99c2410d2ed8c9b7f959499d3f1f0f4f8c3716011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561760f4ae73978b9afb9ed43d2e849cdd4e86629e36a6941ca0471901556df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-28T17:53:12Z",
    "title_canon_sha256": "59222ded95a73f180885ac7e279a583d601352f1e0c1e80b858e8389b5d2c628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4509",
    "kind": "arxiv",
    "version": 2
  }
}