Pith Number

pith:ME3NDR3W

pith:2018:ME3NDR3WTPF2HZBD4CR4BXQIPN

not attested not anchored not stored refs pending

The loop of formal power series with noncommutative coefficients under substitution

Jos\'e M. P\'erez-Izquierdo

arxiv:1803.04441 v1 · 2018-03-12 · 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{ME3NDR3WTPF2HZBD4CR4BXQIPN}

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	2026-05-18T00:21:19.046291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6136d1c7769bcba3e423e0a3c0de087b7ee0c8adae260dcc772d826fc79ebad3

Aliases

arxiv: 1803.04441 · arxiv_version: 1803.04441v1 · doi: 10.48550/arxiv.1803.04441 · pith_short_12: ME3NDR3WTPF2 · pith_short_16: ME3NDR3WTPF2HZBD · pith_short_8: ME3NDR3W

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/ME3NDR3WTPF2HZBD4CR4BXQIPN \
  | 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: 6136d1c7769bcba3e423e0a3c0de087b7ee0c8adae260dcc772d826fc79ebad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4208976b25429a8b1a8b8cdc43a12ce977c93e672fec375141b97111ffff975a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-12T18:24:39Z",
    "title_canon_sha256": "f22d48003326f271dfec7012a25727cf43c1bbeefde76292885faa140574c575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04441",
    "kind": "arxiv",
    "version": 1
  }
}