Pith Number

pith:FE2KB2IF

pith:2018:FE2KB2IFIWKSBW5O3DTYNPIZ2I

not attested not anchored not stored refs pending

Loop of formal diffeomorphisms and F{\`a}a di Bruno coloop bialgebra

Alessandra Frabetti (PSPM), Ivan Shestakov

arxiv:1807.10477 v3 · 2018-07-27 · math.RA · 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{FE2KB2IFIWKSBW5O3DTYNPIZ2I}

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	2026-05-17T23:48:11.539933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2934a0e905459520dbaed8e786bd19d20176a64dfd08ebadd8b962a74980315f

Aliases

arxiv: 1807.10477 · arxiv_version: 1807.10477v3 · doi: 10.48550/arxiv.1807.10477 · pith_short_12: FE2KB2IFIWKS · pith_short_16: FE2KB2IFIWKSBW5O · pith_short_8: FE2KB2IF

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/FE2KB2IFIWKSBW5O3DTYNPIZ2I \
  | 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: 2934a0e905459520dbaed8e786bd19d20176a64dfd08ebadd8b962a74980315f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ff931f287239097bf8aefdf7365004b10ae6dfc211b05079d87aa5c74a5fd9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-07-27T08:01:41Z",
    "title_canon_sha256": "b2e7097d36c8721691f88dc65b704f4ab192a53e27711a9368f1f630b6d1cd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10477",
    "kind": "arxiv",
    "version": 3
  }
}