Pith Number

pith:LRYIMLKA

pith:2024:LRYIMLKAEIHDGKOMQAWQQRHPCK

not attested not anchored not stored refs pending

Low complexity among principal fully irreducible elements of Out($F_3$)

Catherine Eva Pfaff, Naomi Andrew, Paige Hillen, Robert Alonzo Lyman

arxiv:2405.03681 v2 · 2024-05-06 · 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{LRYIMLKAEIHDGKOMQAWQQRHPCK}

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	2026-07-01T14:23:05.450105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28

Aliases

arxiv: 2405.03681 · arxiv_version: 2405.03681v2 · doi: 10.48550/arxiv.2405.03681 · pith_short_12: LRYIMLKAEIHD · pith_short_16: LRYIMLKAEIHDGKOM · pith_short_8: LRYIMLKA

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/LRYIMLKAEIHDGKOMQAWQQRHPCK \
  | 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: 5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0e568b607aadec31bb520240a57e0abfd52b39e4a29737a5db8ebfa0cec11e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-05-06T17:56:59Z",
    "title_canon_sha256": "79b41312f2cfdd6592fddab5b3aff8bb8248966dc7ea299d7713483331235940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03681",
    "kind": "arxiv",
    "version": 2
  }
}