Pith Number

pith:DVIUDLGG

pith:2008:DVIUDLGG6TH7SVDYDACPPO6M2J

not attested not anchored not stored refs pending

On hyperbolic once-punctured-torus bundles III: Comparing two tessellations of the complex plane

Makoto Sakuma, Warren Dicks

arxiv:0811.1678 v1 · 2008-11-11 · math.GT · 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{DVIUDLGG6TH7SVDYDACPPO6M2J}

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	2026-05-18T04:16:12.321037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5141acc6f4cff954781804f7bbccd276a4108379837e0bb26b0a5f05fb9de0

Aliases

arxiv: 0811.1678 · arxiv_version: 0811.1678v1 · doi: 10.48550/arxiv.0811.1678 · pith_short_12: DVIUDLGG6TH7 · pith_short_16: DVIUDLGG6TH7SVDY · pith_short_8: DVIUDLGG

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/DVIUDLGG6TH7SVDYDACPPO6M2J \
  | 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: 1d5141acc6f4cff954781804f7bbccd276a4108379837e0bb26b0a5f05fb9de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fa45056259ebb6a55320bc9d8f6281c7e3d67044d5d8f1b1125a67c7be170c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-11-11T10:43:04Z",
    "title_canon_sha256": "9e5d321f49e50f9eee401722940a4adc06c92f426b48305c06199af2e4c6f4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1678",
    "kind": "arxiv",
    "version": 1
  }
}