Pith Number

pith:SDL2HTSH

pith:2016:SDL2HTSHA5XA3BGMBN5IECGEZH

not attested not anchored not stored refs pending

Counting loxodromics for hyperbolic actions

Giulio Tiozzo, Ilya Gekhtman, Samuel J. Taylor

arxiv:1605.02103 v1 · 2016-05-06 · math.GT · math.DS · 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{SDL2HTSHA5XA3BGMBN5IECGEZH}

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	2026-05-18T00:18:20.767461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d7a3ce47076e0d84cc0b7a8208c4c9eac14d21c82720b7f5cf2f61933c5066

Aliases

arxiv: 1605.02103 · arxiv_version: 1605.02103v1 · doi: 10.48550/arxiv.1605.02103 · pith_short_12: SDL2HTSHA5XA · pith_short_16: SDL2HTSHA5XA3BGM · pith_short_8: SDL2HTSH

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/SDL2HTSHA5XA3BGMBN5IECGEZH \
  | 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: 90d7a3ce47076e0d84cc0b7a8208c4c9eac14d21c82720b7f5cf2f61933c5066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb80aaeb7dc1d4edd3c929f7f986aa3502f6c18a3e3c0ce6a968780acaf2cb57",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-06T21:29:45Z",
    "title_canon_sha256": "71e810175fbab8b69ef0c68d0ee10cb1997a23e28bdd7ace2554a6aa29a8fbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02103",
    "kind": "arxiv",
    "version": 1
  }
}