Pith Number

pith:MX4U7RHO

pith:2022:MX4U7RHO67FL7WEFDDS6WA6RBS

not attested not anchored not stored refs pending

The combinatorics of Farey words and their traces

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

arxiv:2204.08076 v2 · 2022-04-17 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MX4U7RHO67FL7WEFDDS6WA6RBS}

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	2026-05-29T01:04:49.319637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f94fc4eef7cabfd88518e5eb03d10cb2adbbcee2df34e014b42f54d95d1f20

Aliases

arxiv: 2204.08076 · arxiv_version: 2204.08076v2 · doi: 10.48550/arxiv.2204.08076 · pith_short_12: MX4U7RHO67FL · pith_short_16: MX4U7RHO67FL7WEF · pith_short_8: MX4U7RHO

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/MX4U7RHO67FL7WEFDDS6WA6RBS \
  | 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: 65f94fc4eef7cabfd88518e5eb03d10cb2adbbcee2df34e014b42f54d95d1f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d04449aef2415c968fc3e770d48c631bfb47846ab224fa6798ef01bc53766d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-04-17T19:52:10Z",
    "title_canon_sha256": "a74ffc939bda704078a203910aeb8492ba1eaa80c81fee78ffea13962988b60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08076",
    "kind": "arxiv",
    "version": 2
  }
}