Pith Number

pith:47QMNOYK

pith:2015:47QMNOYK2LF7RVYX6LVFU2ML26

not attested not anchored not stored refs pending

Intrinsic Taylor formula for Kolmogorov-type homogeneous groups

Andrea Pascucci, Michele Pignotti, Stefano Pagliarani

arxiv:1501.03050 v1 · 2015-01-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47QMNOYK2LF7RVYX6LVFU2ML26}

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	2026-05-18T01:03:12.147121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e0c6bb0ad2cbf8d717f2ea5a698bd7af82e9285b36df85d264b23157b020fb

Aliases

arxiv: 1501.03050 · arxiv_version: 1501.03050v1 · doi: 10.48550/arxiv.1501.03050 · pith_short_12: 47QMNOYK2LF7 · pith_short_16: 47QMNOYK2LF7RVYX · pith_short_8: 47QMNOYK

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/47QMNOYK2LF7RVYX6LVFU2ML26 \
  | 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: e7e0c6bb0ad2cbf8d717f2ea5a698bd7af82e9285b36df85d264b23157b020fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f285205d5e65408a0b6d9cf5551b5b7ad85253687f7772b06532fd1f65bf134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-13T15:46:14Z",
    "title_canon_sha256": "f6395f18126acc450bff868430107c5694d74ba9c16182c55f63a15c75b000b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03050",
    "kind": "arxiv",
    "version": 1
  }
}