Pith Number

pith:S6M5HCXI

pith:2018:S6M5HCXI3ZP7APFZYE66R6BK3I

not attested not anchored not stored refs pending

The visual boundary of hyperbolic free-by-cyclic groups

Arnaud Hilion, Emily Stark, Yael Algom-Kfir

arxiv:1801.04750 v1 · 2018-01-15 · 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{S6M5HCXI3ZP7APFZYE66R6BK3I}

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	2026-05-18T00:26:03.387507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9799d38ae8de5ff03cb9c13de8f82ada3e72707bf4f2dd06d89b415fc46b1019

Aliases

arxiv: 1801.04750 · arxiv_version: 1801.04750v1 · doi: 10.48550/arxiv.1801.04750 · pith_short_12: S6M5HCXI3ZP7 · pith_short_16: S6M5HCXI3ZP7APFZ · pith_short_8: S6M5HCXI

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/S6M5HCXI3ZP7APFZYE66R6BK3I \
  | 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: 9799d38ae8de5ff03cb9c13de8f82ada3e72707bf4f2dd06d89b415fc46b1019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7f1f4c21ac2a98bf9d55dff2c2a8351696082f18366c9c6a205b0629d765e1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-15T11:47:26Z",
    "title_canon_sha256": "3060fa6d85d7c9c913ddf7b771d64de4fcb5874ffb3a27bedd01040da87e6d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04750",
    "kind": "arxiv",
    "version": 1
  }
}