Pith Number

pith:LC2OW7MT

pith:2026:LC2OW7MT3VZF6UISRKQAM3HJUI

not attested not anchored not stored refs pending

Substitution groups of formal power series

Agust\'in D'Alessandro, Fernando Szechtman

arxiv:2606.11461 v1 · 2026-06-09 · 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{LC2OW7MT3VZF6UISRKQAM3HJUI}

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	2026-06-11T01:09:49.813377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b4eb7d93dd725f51128aa0066ce9a2097bb1fef0cc67cbbd954b680df78151

Aliases

arxiv: 2606.11461 · arxiv_version: 2606.11461v1 · doi: 10.48550/arxiv.2606.11461 · pith_short_12: LC2OW7MT3VZF · pith_short_16: LC2OW7MT3VZF6UIS · pith_short_8: LC2OW7MT

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/LC2OW7MT3VZF6UISRKQAM3HJUI \
  | 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: 58b4eb7d93dd725f51128aa0066ce9a2097bb1fef0cc67cbbd954b680df78151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc69cf841dbef45ad66fcba5018f64eeb6a712cc44cfa683315413a6aa5797a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-09T21:31:04Z",
    "title_canon_sha256": "6c8f618a6f4dd79a65e647261864ca4a7e319382cdfe0b0f453695323cde22db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11461",
    "kind": "arxiv",
    "version": 1
  }
}