Pith Number

pith:ID4Y6IDH

pith:2009:ID4Y6IDHOCOXV3T7WFGINTJEZE

not attested not anchored not stored refs pending

On topological properties of the formal power series substitution group

I. Babenko, S. Bogatyi

arxiv:0912.1813 v1 · 2009-12-09 · 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{ID4Y6IDHOCOXV3T7WFGINTJEZE}

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	2026-05-18T01:03:33.123732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f98f2067709d7aee7fb14c86cd24c906eee29d17a2885e0d2762c9a4d4119e

Aliases

arxiv: 0912.1813 · arxiv_version: 0912.1813v1 · doi: 10.48550/arxiv.0912.1813 · pith_short_12: ID4Y6IDHOCOX · pith_short_16: ID4Y6IDHOCOXV3T7 · pith_short_8: ID4Y6IDH

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/ID4Y6IDHOCOXV3T7WFGINTJEZE \
  | 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: 40f98f2067709d7aee7fb14c86cd24c906eee29d17a2885e0d2762c9a4d4119e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec54bda8702ebd2c432932c7d13c2b63d57e4e70718c07fc8b0775c0a973fb3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-09T17:35:13Z",
    "title_canon_sha256": "75de5cec9ff57a3e1aadb9555f4f6b034b484e417f258c924e526db10e6e8c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1813",
    "kind": "arxiv",
    "version": 1
  }
}