Pith Number

pith:4F7MSBO6

pith:2002:4F7MSBO62S4UWVBHGBNXVCOKXI

not attested not anchored not stored refs pending

Exponential Iterated Integrals and the Relative Solvable Completion of the Fundamental Group of a Manifold

Carl Miller

arxiv:math/0202237 v2 · 2002-02-23 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F7MSBO62S4UWVBHGBNXVCOKXI}

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	2026-07-04T14:35:56.236615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17ec905ded4b94b5427305b7a89caba3b3d081efbdd57a7d97dd4aff52d2c82

Aliases

arxiv: math/0202237 · arxiv_version: math/0202237v2 · doi: 10.48550/arxiv.math/0202237 · pith_short_12: 4F7MSBO62S4U · pith_short_16: 4F7MSBO62S4UWVBH · pith_short_8: 4F7MSBO6

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/4F7MSBO62S4UWVBHGBNXVCOKXI \
  | 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: e17ec905ded4b94b5427305b7a89caba3b3d081efbdd57a7d97dd4aff52d2c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf5bed4d4c3ed389c0871cb9ec85de7e9e89069b2765683ceadcd84b04c6dbf",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-02-23T01:04:33Z",
    "title_canon_sha256": "89cc6f74b5618504f2982cb8519fed972f13a47fcf2836c5a4ba77110fbd0625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202237",
    "kind": "arxiv",
    "version": 2
  }
}