Pith Number

pith:ZDUCSVX2

pith:2015:ZDUCSVX2DHGBO6FIA6EDJLK6NH

not attested not anchored not stored refs pending

Salem numbers and arithmetic hyperbolic groups

John G. Ratcliffe, Steven T. Tschantz, Vincent Emery

arxiv:1506.03727 v3 · 2015-06-11 · math.GT · math.GR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDUCSVX2DHGBO6FIA6EDJLK6NH}

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	2026-05-18T00:12:01.128479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e82956fa19cc1778a8078834ad5e69ca22aa8f27a922535f681e7f769d7a3d

Aliases

arxiv: 1506.03727 · arxiv_version: 1506.03727v3 · doi: 10.48550/arxiv.1506.03727 · pith_short_12: ZDUCSVX2DHGB · pith_short_16: ZDUCSVX2DHGBO6FI · pith_short_8: ZDUCSVX2

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/ZDUCSVX2DHGBO6FIA6EDJLK6NH \
  | 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: c8e82956fa19cc1778a8078834ad5e69ca22aa8f27a922535f681e7f769d7a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1327a676baac7be1489d1d4de7e1e794ee2e5919a01bdd47dbeed6783d1efa5",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-11T16:09:00Z",
    "title_canon_sha256": "f054024c734e7f9b5d796a8a1f2ab46f2c4df9b113ad70a50f22239cdb22c7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03727",
    "kind": "arxiv",
    "version": 3
  }
}