Pith Number

pith:JWQCDPOZ

pith:2026:JWQCDPOZNDPSHNL3WIZ6X6ESWQ

not attested not anchored not stored refs pending

Commutative decomposition of infinite symmetric groups and transformation monoids

Alex Levine, Luna Elliott

arxiv:2605.14862 v1 · 2026-05-14 · 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{JWQCDPOZNDPSHNL3WIZ6X6ESWQ}

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	2026-05-17T23:38:56.223826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da021bdd968df23b57bb233ebf892b4078384aa5263dfddae5a3d0789132fe4

Aliases

arxiv: 2605.14862 · arxiv_version: 2605.14862v1 · doi: 10.48550/arxiv.2605.14862 · pith_short_12: JWQCDPOZNDPS · pith_short_16: JWQCDPOZNDPSHNL3 · pith_short_8: JWQCDPOZ

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/JWQCDPOZNDPSHNL3WIZ6X6ESWQ \
  | 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: 4da021bdd968df23b57bb233ebf892b4078384aa5263dfddae5a3d0789132fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91fccab6186f13be298b68c017ce4d4d03f5c3360985684700604f9a0b8a22a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-14T14:09:48Z",
    "title_canon_sha256": "cfcbf5d96a1e4d89dbc5c2f271d180aa7c6fe473403a6ecdec70560572b376ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14862",
    "kind": "arxiv",
    "version": 1
  }
}